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Finding the Fourth Proportional to 75,909.20, 113,863.80 and 74,742.80

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Solution

The fourth proportional to 75,909.20, 113,863.80 and 74,742.80 is: 112,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.20 : 113,863.80 = 74,742.80 : x
  2. Step 2: Convert to fraction form
    75,909.20/113,863.80 = 74,742.80/x
  3. Step 3: Cross multiply
    75,909.20x = 113,863.80 × 74,742.80
  4. Step 4: Simplify right side
    75,909.20x = 8,510,499,230.64
  5. Step 5: Solve for x
    x = 8,510,499,230.64/75,909.20
  6. Step 6: Final answer
    x = 112,114.20

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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.