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Finding the Fourth Proportional to 272,543.31, 408,832.25 and 85,562.19

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Solution

The fourth proportional to 272,543.31, 408,832.25 and 85,562.19 is: 128,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,543.31 : 408,832.25 = 85,562.19 : x
  2. Step 2: Convert to fraction form
    272,543.31/408,832.25 = 85,562.19/x
  3. Step 3: Cross multiply
    272,543.31x = 408,832.25 × 85,562.19
  4. Step 4: Simplify right side
    272,543.31x = 34,980,582,224.82
  5. Step 5: Solve for x
    x = 34,980,582,224.82/272,543.31
  6. Step 6: Final answer
    x = 128,348.71

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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.