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Finding the Fourth Proportional to 157,586, 217,468.68 and 85,966.31

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Solution

The fourth proportional to 157,586, 217,468.68 and 85,966.31 is: 118,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,586 : 217,468.68 = 85,966.31 : x
  2. Step 2: Convert to fraction form
    157,586/217,468.68 = 85,966.31/x
  3. Step 3: Cross multiply
    157,586x = 217,468.68 × 85,966.31
  4. Step 4: Simplify right side
    157,586x = 18,694,978,872.83
  5. Step 5: Solve for x
    x = 18,694,978,872.83/157,586
  6. Step 6: Final answer
    x = 118,633.50

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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.