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Finding the Fourth Proportional to 157,854.54, 217,835.70 and 86,234.88

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Solution

The fourth proportional to 157,854.54, 217,835.70 and 86,234.88 is: 119,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854.54 : 217,835.70 = 86,234.88 : x
  2. Step 2: Convert to fraction form
    157,854.54/217,835.70 = 86,234.88/x
  3. Step 3: Cross multiply
    157,854.54x = 217,835.70 × 86,234.88
  4. Step 4: Simplify right side
    157,854.54x = 18,785,035,449.22
  5. Step 5: Solve for x
    x = 18,785,035,449.22/157,854.54
  6. Step 6: Final answer
    x = 119,002.19

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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.