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Finding the Fourth Proportional to 52,165, 71,987.70 and 29,809

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Solution

The fourth proportional to 52,165, 71,987.70 and 29,809 is: 41,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165 : 71,987.70 = 29,809 : x
  2. Step 2: Convert to fraction form
    52,165/71,987.70 = 29,809/x
  3. Step 3: Cross multiply
    52,165x = 71,987.70 × 29,809
  4. Step 4: Simplify right side
    52,165x = 2,145,881,349.30
  5. Step 5: Solve for x
    x = 2,145,881,349.30/52,165
  6. Step 6: Final answer
    x = 41,136.42

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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.