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Finding the Fourth Proportional to 83,498.72, 125,246.25 and 20,319.12

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Solution

The fourth proportional to 83,498.72, 125,246.25 and 20,319.12 is: 30,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,498.72 : 125,246.25 = 20,319.12 : x
  2. Step 2: Convert to fraction form
    83,498.72/125,246.25 = 20,319.12/x
  3. Step 3: Cross multiply
    83,498.72x = 125,246.25 × 20,319.12
  4. Step 4: Simplify right side
    83,498.72x = 2,544,893,583.30
  5. Step 5: Solve for x
    x = 2,544,893,583.30/83,498.72
  6. Step 6: Final answer
    x = 30,478.24

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.