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Finding the Fourth Proportional to 91,872.20, 137,735.40 and 50,319.20

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Solution

The fourth proportional to 91,872.20, 137,735.40 and 50,319.20 is: 75,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,872.20 : 137,735.40 = 50,319.20 : x
  2. Step 2: Convert to fraction form
    91,872.20/137,735.40 = 50,319.20/x
  3. Step 3: Cross multiply
    91,872.20x = 137,735.40 × 50,319.20
  4. Step 4: Simplify right side
    91,872.20x = 6,930,735,139.68
  5. Step 5: Solve for x
    x = 6,930,735,139.68/91,872.20
  6. Step 6: Final answer
    x = 75,438.87

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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.