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Finding the Fourth Proportional to 91,400.60, 137,049.92 and 28,202.78

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Solution

The fourth proportional to 91,400.60, 137,049.92 and 28,202.78 is: 42,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,400.60 : 137,049.92 = 28,202.78 : x
  2. Step 2: Convert to fraction form
    91,400.60/137,049.92 = 28,202.78/x
  3. Step 3: Cross multiply
    91,400.60x = 137,049.92 × 28,202.78
  4. Step 4: Simplify right side
    91,400.60x = 3,865,188,742.78
  5. Step 5: Solve for x
    x = 3,865,188,742.78/91,400.60
  6. Step 6: Final answer
    x = 42,288.44

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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.