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Finding the Fourth Proportional to 252,627.66, 378,947.87 and 75,136.21

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Solution

The fourth proportional to 252,627.66, 378,947.87 and 75,136.21 is: 112,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,627.66 : 378,947.87 = 75,136.21 : x
  2. Step 2: Convert to fraction form
    252,627.66/378,947.87 = 75,136.21/x
  3. Step 3: Cross multiply
    252,627.66x = 378,947.87 × 75,136.21
  4. Step 4: Simplify right side
    252,627.66x = 28,472,705,698.08
  5. Step 5: Solve for x
    x = 28,472,705,698.08/252,627.66
  6. Step 6: Final answer
    x = 112,706.21

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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.