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Finding the Fourth Proportional to 75,685.84, 113,489.88 and 40,654.96

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Solution

The fourth proportional to 75,685.84, 113,489.88 and 40,654.96 is: 60,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,685.84 : 113,489.88 = 40,654.96 : x
  2. Step 2: Convert to fraction form
    75,685.84/113,489.88 = 40,654.96/x
  3. Step 3: Cross multiply
    75,685.84x = 113,489.88 × 40,654.96
  4. Step 4: Simplify right side
    75,685.84x = 4,613,926,531.80
  5. Step 5: Solve for x
    x = 4,613,926,531.80/75,685.84
  6. Step 6: Final answer
    x = 60,961.56

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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.