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Finding the Fourth Proportional to 71,905.80, 107,841.42 and 36,827.40

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Solution

The fourth proportional to 71,905.80, 107,841.42 and 36,827.40 is: 55,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,905.80 : 107,841.42 = 36,827.40 : x
  2. Step 2: Convert to fraction form
    71,905.80/107,841.42 = 36,827.40/x
  3. Step 3: Cross multiply
    71,905.80x = 107,841.42 × 36,827.40
  4. Step 4: Simplify right side
    71,905.80x = 3,971,519,110.91
  5. Step 5: Solve for x
    x = 3,971,519,110.91/71,905.80
  6. Step 6: Final answer
    x = 55,232.25

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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.