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Finding the Fourth Proportional to 71,201.80, 106,656.90 and 36,161.20

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Solution

The fourth proportional to 71,201.80, 106,656.90 and 36,161.20 is: 54,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,201.80 : 106,656.90 = 36,161.20 : x
  2. Step 2: Convert to fraction form
    71,201.80/106,656.90 = 36,161.20/x
  3. Step 3: Cross multiply
    71,201.80x = 106,656.90 × 36,161.20
  4. Step 4: Simplify right side
    71,201.80x = 3,856,841,492.28
  5. Step 5: Solve for x
    x = 3,856,841,492.28/71,201.80
  6. Step 6: Final answer
    x = 54,167.75

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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.