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Finding the Fourth Proportional to 75,700.72, 113,550.68 and 42,420.88

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Solution

The fourth proportional to 75,700.72, 113,550.68 and 42,420.88 is: 63,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,700.72 : 113,550.68 = 42,420.88 : x
  2. Step 2: Convert to fraction form
    75,700.72/113,550.68 = 42,420.88/x
  3. Step 3: Cross multiply
    75,700.72x = 113,550.68 × 42,420.88
  4. Step 4: Simplify right side
    75,700.72x = 4,816,919,770.20
  5. Step 5: Solve for x
    x = 4,816,919,770.20/75,700.72
  6. Step 6: Final answer
    x = 63,631.10

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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.