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Finding the Fourth Proportional to 157,732.68, 217,662.84 and 86,098.86

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Solution

The fourth proportional to 157,732.68, 217,662.84 and 86,098.86 is: 118,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,732.68 : 217,662.84 = 86,098.86 : x
  2. Step 2: Convert to fraction form
    157,732.68/217,662.84 = 86,098.86/x
  3. Step 3: Cross multiply
    157,732.68x = 217,662.84 × 86,098.86
  4. Step 4: Simplify right side
    157,732.68x = 18,740,522,388.36
  5. Step 5: Solve for x
    x = 18,740,522,388.36/157,732.68
  6. Step 6: Final answer
    x = 118,811.92

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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.