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Finding the Fourth Proportional to 100,311.68, 150,337.92 and 47,737.28

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Solution

The fourth proportional to 100,311.68, 150,337.92 and 47,737.28 is: 71,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,311.68 : 150,337.92 = 47,737.28 : x
  2. Step 2: Convert to fraction form
    100,311.68/150,337.92 = 47,737.28/x
  3. Step 3: Cross multiply
    100,311.68x = 150,337.92 × 47,737.28
  4. Step 4: Simplify right side
    100,311.68x = 7,176,723,381.66
  5. Step 5: Solve for x
    x = 7,176,723,381.66/100,311.68
  6. Step 6: Final answer
    x = 71,544.24

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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.