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Finding the Fourth Proportional to 81,909.84, 122,842.56 and 35,151.76

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Solution

The fourth proportional to 81,909.84, 122,842.56 and 35,151.76 is: 52,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.84 : 122,842.56 = 35,151.76 : x
  2. Step 2: Convert to fraction form
    81,909.84/122,842.56 = 35,151.76/x
  3. Step 3: Cross multiply
    81,909.84x = 122,842.56 × 35,151.76
  4. Step 4: Simplify right side
    81,909.84x = 4,318,132,186.91
  5. Step 5: Solve for x
    x = 4,318,132,186.91/81,909.84
  6. Step 6: Final answer
    x = 52,718.11

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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.