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Finding the Fourth Proportional to 71,987.40, 107,981.10 and 40,494.60

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Solution

The fourth proportional to 71,987.40, 107,981.10 and 40,494.60 is: 60,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,987.40 : 107,981.10 = 40,494.60 : x
  2. Step 2: Convert to fraction form
    71,987.40/107,981.10 = 40,494.60/x
  3. Step 3: Cross multiply
    71,987.40x = 107,981.10 × 40,494.60
  4. Step 4: Simplify right side
    71,987.40x = 4,372,651,452.06
  5. Step 5: Solve for x
    x = 4,372,651,452.06/71,987.40
  6. Step 6: Final answer
    x = 60,741.90

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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.