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Finding the Fourth Proportional to 52,687.70, 72,710.46 and 31,479.20

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Solution

The fourth proportional to 52,687.70, 72,710.46 and 31,479.20 is: 43,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,687.70 : 72,710.46 = 31,479.20 : x
  2. Step 2: Convert to fraction form
    52,687.70/72,710.46 = 31,479.20/x
  3. Step 3: Cross multiply
    52,687.70x = 72,710.46 × 31,479.20
  4. Step 4: Simplify right side
    52,687.70x = 2,288,867,112.43
  5. Step 5: Solve for x
    x = 2,288,867,112.43/52,687.70
  6. Step 6: Final answer
    x = 43,442.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.