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Finding the Fourth Proportional to 51,497.70, 77,246.55 and 20,328.90

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Solution

The fourth proportional to 51,497.70, 77,246.55 and 20,328.90 is: 30,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,497.70 : 77,246.55 = 20,328.90 : x
  2. Step 2: Convert to fraction form
    51,497.70/77,246.55 = 20,328.90/x
  3. Step 3: Cross multiply
    51,497.70x = 77,246.55 × 20,328.90
  4. Step 4: Simplify right side
    51,497.70x = 1,570,337,390.30
  5. Step 5: Solve for x
    x = 1,570,337,390.30/51,497.70
  6. Step 6: Final answer
    x = 30,493.35

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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.