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Finding the Fourth Proportional to 157,854.56, 217,835.68 and 86,234.88

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Solution

The fourth proportional to 157,854.56, 217,835.68 and 86,234.88 is: 119,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854.56 : 217,835.68 = 86,234.88 : x
  2. Step 2: Convert to fraction form
    157,854.56/217,835.68 = 86,234.88/x
  3. Step 3: Cross multiply
    157,854.56x = 217,835.68 × 86,234.88
  4. Step 4: Simplify right side
    157,854.56x = 18,785,033,724.52
  5. Step 5: Solve for x
    x = 18,785,033,724.52/157,854.56
  6. Step 6: Final answer
    x = 119,002.16

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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.