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Finding the Fourth Proportional to 71,311.80, 98,410.78 and 39,480.02

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Solution

The fourth proportional to 71,311.80, 98,410.78 and 39,480.02 is: 54,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,311.80 : 98,410.78 = 39,480.02 : x
  2. Step 2: Convert to fraction form
    71,311.80/98,410.78 = 39,480.02/x
  3. Step 3: Cross multiply
    71,311.80x = 98,410.78 × 39,480.02
  4. Step 4: Simplify right side
    71,311.80x = 3,885,259,562.62
  5. Step 5: Solve for x
    x = 3,885,259,562.62/71,311.80
  6. Step 6: Final answer
    x = 54,482.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.