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Finding the Fourth Proportional to 71,140.80, 98,181.16 and 39,311.84

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Solution

The fourth proportional to 71,140.80, 98,181.16 and 39,311.84 is: 54,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.80 : 98,181.16 = 39,311.84 : x
  2. Step 2: Convert to fraction form
    71,140.80/98,181.16 = 39,311.84/x
  3. Step 3: Cross multiply
    71,140.80x = 98,181.16 × 39,311.84
  4. Step 4: Simplify right side
    71,140.80x = 3,859,682,052.93
  5. Step 5: Solve for x
    x = 3,859,682,052.93/71,140.80
  6. Step 6: Final answer
    x = 54,254.13

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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.