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Finding the Fourth Proportional to 71,180.78, 98,252.80 and 49,965.26

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Solution

The fourth proportional to 71,180.78, 98,252.80 and 49,965.26 is: 68,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,180.78 : 98,252.80 = 49,965.26 : x
  2. Step 2: Convert to fraction form
    71,180.78/98,252.80 = 49,965.26/x
  3. Step 3: Cross multiply
    71,180.78x = 98,252.80 × 49,965.26
  4. Step 4: Simplify right side
    71,180.78x = 4,909,226,081.55
  5. Step 5: Solve for x
    x = 4,909,226,081.55/71,180.78
  6. Step 6: Final answer
    x = 68,968.43

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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.