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Finding the Fourth Proportional to 71,578.84, 98,781.82 and 39,747.68

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Solution

The fourth proportional to 71,578.84, 98,781.82 and 39,747.68 is: 54,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.84 : 98,781.82 = 39,747.68 : x
  2. Step 2: Convert to fraction form
    71,578.84/98,781.82 = 39,747.68/x
  3. Step 3: Cross multiply
    71,578.84x = 98,781.82 × 39,747.68
  4. Step 4: Simplify right side
    71,578.84x = 3,926,348,171.18
  5. Step 5: Solve for x
    x = 3,926,348,171.18/71,578.84
  6. Step 6: Final answer
    x = 54,853.48

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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.