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Finding the Fourth Proportional to 71,987.40, 107,981.10 and 67,832.10

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Solution

The fourth proportional to 71,987.40, 107,981.10 and 67,832.10 is: 101,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,987.40 : 107,981.10 = 67,832.10 : x
  2. Step 2: Convert to fraction form
    71,987.40/107,981.10 = 67,832.10/x
  3. Step 3: Cross multiply
    71,987.40x = 107,981.10 × 67,832.10
  4. Step 4: Simplify right side
    71,987.40x = 7,324,584,773.31
  5. Step 5: Solve for x
    x = 7,324,584,773.31/71,987.40
  6. Step 6: Final answer
    x = 101,748.15

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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.