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Finding the Fourth Proportional to 71,187.20, 106,689.92 and 33,747.20

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Solution

The fourth proportional to 71,187.20, 106,689.92 and 33,747.20 is: 50,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,187.20 : 106,689.92 = 33,747.20 : x
  2. Step 2: Convert to fraction form
    71,187.20/106,689.92 = 33,747.20/x
  3. Step 3: Cross multiply
    71,187.20x = 106,689.92 × 33,747.20
  4. Step 4: Simplify right side
    71,187.20x = 3,600,486,068.22
  5. Step 5: Solve for x
    x = 3,600,486,068.22/71,187.20
  6. Step 6: Final answer
    x = 50,577.72

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1.5x scale

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.