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Finding the Fourth Proportional to 71,782.96, 107,696.28 and 36,747.20

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Solution

The fourth proportional to 71,782.96, 107,696.28 and 36,747.20 is: 55,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782.96 : 107,696.28 = 36,747.20 : x
  2. Step 2: Convert to fraction form
    71,782.96/107,696.28 = 36,747.20/x
  3. Step 3: Cross multiply
    71,782.96x = 107,696.28 × 36,747.20
  4. Step 4: Simplify right side
    71,782.96x = 3,957,536,740.42
  5. Step 5: Solve for x
    x = 3,957,536,740.42/71,782.96
  6. Step 6: Final answer
    x = 55,131.98

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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.