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Finding the Fourth Proportional to 75,909.70, 113,864.55 and 74,743.30

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Solution

The fourth proportional to 75,909.70, 113,864.55 and 74,743.30 is: 112,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.70 : 113,864.55 = 74,743.30 : x
  2. Step 2: Convert to fraction form
    75,909.70/113,864.55 = 74,743.30/x
  3. Step 3: Cross multiply
    75,909.70x = 113,864.55 × 74,743.30
  4. Step 4: Simplify right side
    75,909.70x = 8,510,612,220.02
  5. Step 5: Solve for x
    x = 8,510,612,220.02/75,909.70
  6. Step 6: Final answer
    x = 112,114.95

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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.