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Finding the Fourth Proportional to 71,786.28, 107,876.16 and 67,710.24

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Solution

The fourth proportional to 71,786.28, 107,876.16 and 67,710.24 is: 101,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.28 : 107,876.16 = 67,710.24 : x
  2. Step 2: Convert to fraction form
    71,786.28/107,876.16 = 67,710.24/x
  3. Step 3: Cross multiply
    71,786.28x = 107,876.16 × 67,710.24
  4. Step 4: Simplify right side
    71,786.28x = 7,304,320,683.88
  5. Step 5: Solve for x
    x = 7,304,320,683.88/71,786.28
  6. Step 6: Final answer
    x = 101,750.93

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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.