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Finding the Fourth Proportional to 83,506.76, 115,246.58 and 45,788.30

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Solution

The fourth proportional to 83,506.76, 115,246.58 and 45,788.30 is: 63,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506.76 : 115,246.58 = 45,788.30 : x
  2. Step 2: Convert to fraction form
    83,506.76/115,246.58 = 45,788.30/x
  3. Step 3: Cross multiply
    83,506.76x = 115,246.58 × 45,788.30
  4. Step 4: Simplify right side
    83,506.76x = 5,276,944,173.84
  5. Step 5: Solve for x
    x = 5,276,944,173.84/83,506.76
  6. Step 6: Final answer
    x = 63,191.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.