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Finding the Fourth Proportional to 71,531.16, 107,231.10 and 36,429.84

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Solution

The fourth proportional to 71,531.16, 107,231.10 and 36,429.84 is: 54,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,531.16 : 107,231.10 = 36,429.84 : x
  2. Step 2: Convert to fraction form
    71,531.16/107,231.10 = 36,429.84/x
  3. Step 3: Cross multiply
    71,531.16x = 107,231.10 × 36,429.84
  4. Step 4: Simplify right side
    71,531.16x = 3,906,411,816.02
  5. Step 5: Solve for x
    x = 3,906,411,816.02/71,531.16
  6. Step 6: Final answer
    x = 54,611.33

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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.