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Finding the Fourth Proportional to 71,140.56, 106,710.84 and 18,549.90

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Solution

The fourth proportional to 71,140.56, 106,710.84 and 18,549.90 is: 27,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.56 : 106,710.84 = 18,549.90 : x
  2. Step 2: Convert to fraction form
    71,140.56/106,710.84 = 18,549.90/x
  3. Step 3: Cross multiply
    71,140.56x = 106,710.84 × 18,549.90
  4. Step 4: Simplify right side
    71,140.56x = 1,979,475,410.92
  5. Step 5: Solve for x
    x = 1,979,475,410.92/71,140.56
  6. Step 6: Final answer
    x = 27,824.85

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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.