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Finding the Fourth Proportional to 157,652.40, 217,560.92 and 86,034

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Solution

The fourth proportional to 157,652.40, 217,560.92 and 86,034 is: 118,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,652.40 : 217,560.92 = 86,034 : x
  2. Step 2: Convert to fraction form
    157,652.40/217,560.92 = 86,034/x
  3. Step 3: Cross multiply
    157,652.40x = 217,560.92 × 86,034
  4. Step 4: Simplify right side
    157,652.40x = 18,717,635,761.11
  5. Step 5: Solve for x
    x = 18,717,635,761.11/157,652.40
  6. Step 6: Final answer
    x = 118,727.25

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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.