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Finding the Fourth Proportional to 47,728.30, 71,446.65 and 37,230.70

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Solution

The fourth proportional to 47,728.30, 71,446.65 and 37,230.70 is: 55,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,728.30 : 71,446.65 = 37,230.70 : x
  2. Step 2: Convert to fraction form
    47,728.30/71,446.65 = 37,230.70/x
  3. Step 3: Cross multiply
    47,728.30x = 71,446.65 × 37,230.70
  4. Step 4: Simplify right side
    47,728.30x = 2,660,008,792.16
  5. Step 5: Solve for x
    x = 2,660,008,792.16/47,728.30
  6. Step 6: Final answer
    x = 55,732.32

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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.