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Finding the Fourth Proportional to 157,687.68, 217,567.44 and 89,705.28

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Solution

The fourth proportional to 157,687.68, 217,567.44 and 89,705.28 is: 123,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,687.68 : 217,567.44 = 89,705.28 : x
  2. Step 2: Convert to fraction form
    157,687.68/217,567.44 = 89,705.28/x
  3. Step 3: Cross multiply
    157,687.68x = 217,567.44 × 89,705.28
  4. Step 4: Simplify right side
    157,687.68x = 19,516,948,124.08
  5. Step 5: Solve for x
    x = 19,516,948,124.08/157,687.68
  6. Step 6: Final answer
    x = 123,769.64

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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.