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Finding the Fourth Proportional to 272,495.08, 408,151.86 and 131,959

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Solution

The fourth proportional to 272,495.08, 408,151.86 and 131,959 is: 197,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,495.08 : 408,151.86 = 131,959 : x
  2. Step 2: Convert to fraction form
    272,495.08/408,151.86 = 131,959/x
  3. Step 3: Cross multiply
    272,495.08x = 408,151.86 × 131,959
  4. Step 4: Simplify right side
    272,495.08x = 53,859,311,293.74
  5. Step 5: Solve for x
    x = 53,859,311,293.74/272,495.08
  6. Step 6: Final answer
    x = 197,652.42

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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.