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Finding the Fourth Proportional to 71,152.50, 106,715.04 and 33,191.28

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Solution

The fourth proportional to 71,152.50, 106,715.04 and 33,191.28 is: 49,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.50 : 106,715.04 = 33,191.28 : x
  2. Step 2: Convert to fraction form
    71,152.50/106,715.04 = 33,191.28/x
  3. Step 3: Cross multiply
    71,152.50x = 106,715.04 × 33,191.28
  4. Step 4: Simplify right side
    71,152.50x = 3,542,008,772.85
  5. Step 5: Solve for x
    x = 3,542,008,772.85/71,152.50
  6. Step 6: Final answer
    x = 49,780.52

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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.