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Finding the Fourth Proportional to 272,407.80, 408,125.70 and 131,856.60

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Solution

The fourth proportional to 272,407.80, 408,125.70 and 131,856.60 is: 197,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,407.80 : 408,125.70 = 131,856.60 : x
  2. Step 2: Convert to fraction form
    272,407.80/408,125.70 = 131,856.60/x
  3. Step 3: Cross multiply
    272,407.80x = 408,125.70 × 131,856.60
  4. Step 4: Simplify right side
    272,407.80x = 53,814,067,174.62
  5. Step 5: Solve for x
    x = 53,814,067,174.62/272,407.80
  6. Step 6: Final answer
    x = 197,549.66

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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.