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Finding the Fourth Proportional to 68,687.80, 103,031.70 and 24,314.20

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Solution

The fourth proportional to 68,687.80, 103,031.70 and 24,314.20 is: 36,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,687.80 : 103,031.70 = 24,314.20 : x
  2. Step 2: Convert to fraction form
    68,687.80/103,031.70 = 24,314.20/x
  3. Step 3: Cross multiply
    68,687.80x = 103,031.70 × 24,314.20
  4. Step 4: Simplify right side
    68,687.80x = 2,505,133,360.14
  5. Step 5: Solve for x
    x = 2,505,133,360.14/68,687.80
  6. Step 6: Final answer
    x = 36,471.30

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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.