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Finding the Fourth Proportional to 156,496.75, 215,965.52 and 89,428.75

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Solution

The fourth proportional to 156,496.75, 215,965.52 and 89,428.75 is: 123,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,496.75 : 215,965.52 = 89,428.75 : x
  2. Step 2: Convert to fraction form
    156,496.75/215,965.52 = 89,428.75/x
  3. Step 3: Cross multiply
    156,496.75x = 215,965.52 × 89,428.75
  4. Step 4: Simplify right side
    156,496.75x = 19,313,526,496.70
  5. Step 5: Solve for x
    x = 19,313,526,496.70/156,496.75
  6. Step 6: Final answer
    x = 123,411.68

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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.