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Finding the Fourth Proportional to 123,892.18, 170,998.42 and 81,454.66

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Solution

The fourth proportional to 123,892.18, 170,998.42 and 81,454.66 is: 112,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,892.18 : 170,998.42 = 81,454.66 : x
  2. Step 2: Convert to fraction form
    123,892.18/170,998.42 = 81,454.66/x
  3. Step 3: Cross multiply
    123,892.18x = 170,998.42 × 81,454.66
  4. Step 4: Simplify right side
    123,892.18x = 13,928,618,161.64
  5. Step 5: Solve for x
    x = 13,928,618,161.64/123,892.18
  6. Step 6: Final answer
    x = 112,425.32

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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.