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Finding the Fourth Proportional to 71,375.42, 98,398.11 and 49,834.38

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Solution

The fourth proportional to 71,375.42, 98,398.11 and 49,834.38 is: 68,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375.42 : 98,398.11 = 49,834.38 : x
  2. Step 2: Convert to fraction form
    71,375.42/98,398.11 = 49,834.38/x
  3. Step 3: Cross multiply
    71,375.42x = 98,398.11 × 49,834.38
  4. Step 4: Simplify right side
    71,375.42x = 4,903,608,805.02
  5. Step 5: Solve for x
    x = 4,903,608,805.02/71,375.42
  6. Step 6: Final answer
    x = 68,701.64

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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.