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Finding the Fourth Proportional to 71,477.82, 98,639.87 and 39,647.25

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Solution

The fourth proportional to 71,477.82, 98,639.87 and 39,647.25 is: 54,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,477.82 : 98,639.87 = 39,647.25 : x
  2. Step 2: Convert to fraction form
    71,477.82/98,639.87 = 39,647.25/x
  3. Step 3: Cross multiply
    71,477.82x = 98,639.87 × 39,647.25
  4. Step 4: Simplify right side
    71,477.82x = 3,910,799,387.62
  5. Step 5: Solve for x
    x = 3,910,799,387.62/71,477.82
  6. Step 6: Final answer
    x = 54,713.47

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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.