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Finding the Fourth Proportional to 71,291.72, 106,915.98 and 29,729

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Solution

The fourth proportional to 71,291.72, 106,915.98 and 29,729 is: 44,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291.72 : 106,915.98 = 29,729 : x
  2. Step 2: Convert to fraction form
    71,291.72/106,915.98 = 29,729/x
  3. Step 3: Cross multiply
    71,291.72x = 106,915.98 × 29,729
  4. Step 4: Simplify right side
    71,291.72x = 3,178,505,169.42
  5. Step 5: Solve for x
    x = 3,178,505,169.42/71,291.72
  6. Step 6: Final answer
    x = 44,584.49

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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.