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Finding the Fourth Proportional to 71,686.20, 107,551.18 and 36,650.46

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Solution

The fourth proportional to 71,686.20, 107,551.18 and 36,650.46 is: 54,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,686.20 : 107,551.18 = 36,650.46 : x
  2. Step 2: Convert to fraction form
    71,686.20/107,551.18 = 36,650.46/x
  3. Step 3: Cross multiply
    71,686.20x = 107,551.18 × 36,650.46
  4. Step 4: Simplify right side
    71,686.20x = 3,941,800,220.54
  5. Step 5: Solve for x
    x = 3,941,800,220.54/71,686.20
  6. Step 6: Final answer
    x = 54,986.88

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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.