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Finding the Fourth Proportional to 81,539.59, 122,293.92 and 25,380.40

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Solution

The fourth proportional to 81,539.59, 122,293.92 and 25,380.40 is: 38,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,539.59 : 122,293.92 = 25,380.40 : x
  2. Step 2: Convert to fraction form
    81,539.59/122,293.92 = 25,380.40/x
  3. Step 3: Cross multiply
    81,539.59x = 122,293.92 × 25,380.40
  4. Step 4: Simplify right side
    81,539.59x = 3,103,868,607.17
  5. Step 5: Solve for x
    x = 3,103,868,607.17/81,539.59
  6. Step 6: Final answer
    x = 38,065.79

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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.