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Finding the Fourth Proportional to 125,769.30, 188,872.65 and 66,720.30

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Solution

The fourth proportional to 125,769.30, 188,872.65 and 66,720.30 is: 100,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,769.30 : 188,872.65 = 66,720.30 : x
  2. Step 2: Convert to fraction form
    125,769.30/188,872.65 = 66,720.30/x
  3. Step 3: Cross multiply
    125,769.30x = 188,872.65 × 66,720.30
  4. Step 4: Simplify right side
    125,769.30x = 12,601,639,869.80
  5. Step 5: Solve for x
    x = 12,601,639,869.80/125,769.30
  6. Step 6: Final answer
    x = 100,196.47

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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.