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Finding the Fourth Proportional to 71,395.80, 107,061.30 and 27,007.80

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Solution

The fourth proportional to 71,395.80, 107,061.30 and 27,007.80 is: 40,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,395.80 : 107,061.30 = 27,007.80 : x
  2. Step 2: Convert to fraction form
    71,395.80/107,061.30 = 27,007.80/x
  3. Step 3: Cross multiply
    71,395.80x = 107,061.30 × 27,007.80
  4. Step 4: Simplify right side
    71,395.80x = 2,891,490,178.14
  5. Step 5: Solve for x
    x = 2,891,490,178.14/71,395.80
  6. Step 6: Final answer
    x = 40,499.44

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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.