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Finding the Fourth Proportional to 83,068, 124,398.42 and 75,080.32

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Solution

The fourth proportional to 83,068, 124,398.42 and 75,080.32 is: 112,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,068 : 124,398.42 = 75,080.32 : x
  2. Step 2: Convert to fraction form
    83,068/124,398.42 = 75,080.32/x
  3. Step 3: Cross multiply
    83,068x = 124,398.42 × 75,080.32
  4. Step 4: Simplify right side
    83,068x = 9,339,873,181.09
  5. Step 5: Solve for x
    x = 9,339,873,181.09/83,068
  6. Step 6: Final answer
    x = 112,436.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.