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Finding the Fourth Proportional to 71,721.60, 107,595.44 and 29,578.26

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Solution

The fourth proportional to 71,721.60, 107,595.44 and 29,578.26 is: 44,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,721.60 : 107,595.44 = 29,578.26 : x
  2. Step 2: Convert to fraction form
    71,721.60/107,595.44 = 29,578.26/x
  3. Step 3: Cross multiply
    71,721.60x = 107,595.44 × 29,578.26
  4. Step 4: Simplify right side
    71,721.60x = 3,182,486,265.64
  5. Step 5: Solve for x
    x = 3,182,486,265.64/71,721.60
  6. Step 6: Final answer
    x = 44,372.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.