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Finding the Fourth Proportional to 272,207.52, 408,322.80 and 132,084

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Solution

The fourth proportional to 272,207.52, 408,322.80 and 132,084 is: 198,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,207.52 : 408,322.80 = 132,084 : x
  2. Step 2: Convert to fraction form
    272,207.52/408,322.80 = 132,084/x
  3. Step 3: Cross multiply
    272,207.52x = 408,322.80 × 132,084
  4. Step 4: Simplify right side
    272,207.52x = 53,932,908,715.20
  5. Step 5: Solve for x
    x = 53,932,908,715.20/272,207.52
  6. Step 6: Final answer
    x = 198,131.59

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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.