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Finding the Fourth Proportional to 71,142.78, 98,175.87 and 39,313.02

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Solution

The fourth proportional to 71,142.78, 98,175.87 and 39,313.02 is: 54,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.78 : 98,175.87 = 39,313.02 : x
  2. Step 2: Convert to fraction form
    71,142.78/98,175.87 = 39,313.02/x
  3. Step 3: Cross multiply
    71,142.78x = 98,175.87 × 39,313.02
  4. Step 4: Simplify right side
    71,142.78x = 3,859,589,940.83
  5. Step 5: Solve for x
    x = 3,859,589,940.83/71,142.78
  6. Step 6: Final answer
    x = 54,251.32

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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.