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Finding the Fourth Proportional to 125,380.10, 188,086.56 and 66,218.11

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Solution

The fourth proportional to 125,380.10, 188,086.56 and 66,218.11 is: 99,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,380.10 : 188,086.56 = 66,218.11 : x
  2. Step 2: Convert to fraction form
    125,380.10/188,086.56 = 66,218.11/x
  3. Step 3: Cross multiply
    125,380.10x = 188,086.56 × 66,218.11
  4. Step 4: Simplify right side
    125,380.10x = 12,454,735,801.07
  5. Step 5: Solve for x
    x = 12,454,735,801.07/125,380.10
  6. Step 6: Final answer
    x = 99,335.82

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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.