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Finding the Fourth Proportional to 138,951.55, 191,753.31 and 75,289.30

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Solution

The fourth proportional to 138,951.55, 191,753.31 and 75,289.30 is: 103,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,951.55 : 191,753.31 = 75,289.30 : x
  2. Step 2: Convert to fraction form
    138,951.55/191,753.31 = 75,289.30/x
  3. Step 3: Cross multiply
    138,951.55x = 191,753.31 × 75,289.30
  4. Step 4: Simplify right side
    138,951.55x = 14,436,972,482.58
  5. Step 5: Solve for x
    x = 14,436,972,482.58/138,951.55
  6. Step 6: Final answer
    x = 103,899.33

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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.