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Finding the Fourth Proportional to 71,405.97, 98,537.76 and 39,577.83

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Solution

The fourth proportional to 71,405.97, 98,537.76 and 39,577.83 is: 54,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,405.97 : 98,537.76 = 39,577.83 : x
  2. Step 2: Convert to fraction form
    71,405.97/98,537.76 = 39,577.83/x
  3. Step 3: Cross multiply
    71,405.97x = 98,537.76 × 39,577.83
  4. Step 4: Simplify right side
    71,405.97x = 3,899,910,713.86
  5. Step 5: Solve for x
    x = 3,899,910,713.86/71,405.97
  6. Step 6: Final answer
    x = 54,616.03

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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.