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Finding the Fourth Proportional to 75,269.60, 112,949.20 and 28,527.20

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Solution

The fourth proportional to 75,269.60, 112,949.20 and 28,527.20 is: 42,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,269.60 : 112,949.20 = 28,527.20 : x
  2. Step 2: Convert to fraction form
    75,269.60/112,949.20 = 28,527.20/x
  3. Step 3: Cross multiply
    75,269.60x = 112,949.20 × 28,527.20
  4. Step 4: Simplify right side
    75,269.60x = 3,222,124,418.24
  5. Step 5: Solve for x
    x = 3,222,124,418.24/75,269.60
  6. Step 6: Final answer
    x = 42,807.78

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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.