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Finding the Fourth Proportional to 71,279.20, 106,918.80 and 29,720.80

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Solution

The fourth proportional to 71,279.20, 106,918.80 and 29,720.80 is: 44,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,279.20 : 106,918.80 = 29,720.80 : x
  2. Step 2: Convert to fraction form
    71,279.20/106,918.80 = 29,720.80/x
  3. Step 3: Cross multiply
    71,279.20x = 106,918.80 × 29,720.80
  4. Step 4: Simplify right side
    71,279.20x = 3,177,712,271.04
  5. Step 5: Solve for x
    x = 3,177,712,271.04/71,279.20
  6. Step 6: Final answer
    x = 44,581.20

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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.