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Finding the Fourth Proportional to 157,864.59, 217,852.34 and 86,248.71

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Solution

The fourth proportional to 157,864.59, 217,852.34 and 86,248.71 is: 119,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,864.59 : 217,852.34 = 86,248.71 : x
  2. Step 2: Convert to fraction form
    157,864.59/217,852.34 = 86,248.71/x
  3. Step 3: Cross multiply
    157,864.59x = 217,852.34 × 86,248.71
  4. Step 4: Simplify right side
    157,864.59x = 18,789,482,864.24
  5. Step 5: Solve for x
    x = 18,789,482,864.24/157,864.59
  6. Step 6: Final answer
    x = 119,022.78

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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.