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Finding the Fourth Proportional to 157,876.68, 217,872.96 and 86,261.16

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Solution

The fourth proportional to 157,876.68, 217,872.96 and 86,261.16 is: 119,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,876.68 : 217,872.96 = 86,261.16 : x
  2. Step 2: Convert to fraction form
    157,876.68/217,872.96 = 86,261.16/x
  3. Step 3: Cross multiply
    157,876.68x = 217,872.96 × 86,261.16
  4. Step 4: Simplify right side
    157,876.68x = 18,793,974,262.23
  5. Step 5: Solve for x
    x = 18,793,974,262.23/157,876.68
  6. Step 6: Final answer
    x = 119,042.12

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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.