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Finding the Fourth Proportional to 81,613.76, 122,387.88 and 25,435.40

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Solution

The fourth proportional to 81,613.76, 122,387.88 and 25,435.40 is: 38,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,613.76 : 122,387.88 = 25,435.40 : x
  2. Step 2: Convert to fraction form
    81,613.76/122,387.88 = 25,435.40/x
  3. Step 3: Cross multiply
    81,613.76x = 122,387.88 × 25,435.40
  4. Step 4: Simplify right side
    81,613.76x = 3,112,984,682.95
  5. Step 5: Solve for x
    x = 3,112,984,682.95/81,613.76
  6. Step 6: Final answer
    x = 38,142.89

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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.