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Finding the Fourth Proportional to 71,681.90, 98,923.16 and 39,414.84

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Solution

The fourth proportional to 71,681.90, 98,923.16 and 39,414.84 is: 54,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,681.90 : 98,923.16 = 39,414.84 : x
  2. Step 2: Convert to fraction form
    71,681.90/98,923.16 = 39,414.84/x
  3. Step 3: Cross multiply
    71,681.90x = 98,923.16 × 39,414.84
  4. Step 4: Simplify right side
    71,681.90x = 3,899,040,523.69
  5. Step 5: Solve for x
    x = 3,899,040,523.69/71,681.90
  6. Step 6: Final answer
    x = 54,393.65

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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.