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Finding the Fourth Proportional to 47,959.80, 71,972.10 and 31,279.20

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Solution

The fourth proportional to 47,959.80, 71,972.10 and 31,279.20 is: 46,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,959.80 : 71,972.10 = 31,279.20 : x
  2. Step 2: Convert to fraction form
    47,959.80/71,972.10 = 31,279.20/x
  3. Step 3: Cross multiply
    47,959.80x = 71,972.10 × 31,279.20
  4. Step 4: Simplify right side
    47,959.80x = 2,251,229,710.32
  5. Step 5: Solve for x
    x = 2,251,229,710.32/47,959.80
  6. Step 6: Final answer
    x = 46,939.93

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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.