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Finding the Fourth Proportional to 71,178.78, 98,236.47 and 40,963.47

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Solution

The fourth proportional to 71,178.78, 98,236.47 and 40,963.47 is: 56,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178.78 : 98,236.47 = 40,963.47 : x
  2. Step 2: Convert to fraction form
    71,178.78/98,236.47 = 40,963.47/x
  3. Step 3: Cross multiply
    71,178.78x = 98,236.47 × 40,963.47
  4. Step 4: Simplify right side
    71,178.78x = 4,024,106,691.75
  5. Step 5: Solve for x
    x = 4,024,106,691.75/71,178.78
  6. Step 6: Final answer
    x = 56,535.20

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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.