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Finding the Fourth Proportional to 272,043.24, 408,064.31 and 72,363.86

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Solution

The fourth proportional to 272,043.24, 408,064.31 and 72,363.86 is: 108,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,043.24 : 408,064.31 = 72,363.86 : x
  2. Step 2: Convert to fraction form
    272,043.24/408,064.31 = 72,363.86/x
  3. Step 3: Cross multiply
    272,043.24x = 408,064.31 × 72,363.86
  4. Step 4: Simplify right side
    272,043.24x = 29,529,108,599.84
  5. Step 5: Solve for x
    x = 29,529,108,599.84/272,043.24
  6. Step 6: Final answer
    x = 108,545.65

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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.