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Finding the Fourth Proportional to 157,791.98, 217,754.66 and 86,174.10

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Solution

The fourth proportional to 157,791.98, 217,754.66 and 86,174.10 is: 118,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,791.98 : 217,754.66 = 86,174.10 : x
  2. Step 2: Convert to fraction form
    157,791.98/217,754.66 = 86,174.10/x
  3. Step 3: Cross multiply
    157,791.98x = 217,754.66 × 86,174.10
  4. Step 4: Simplify right side
    157,791.98x = 18,764,812,555.17
  5. Step 5: Solve for x
    x = 18,764,812,555.17/157,791.98
  6. Step 6: Final answer
    x = 118,921.21

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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.