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Finding the Fourth Proportional to 272,035.30, 408,110.55 and 82,480.10

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Solution

The fourth proportional to 272,035.30, 408,110.55 and 82,480.10 is: 123,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,035.30 : 408,110.55 = 82,480.10 : x
  2. Step 2: Convert to fraction form
    272,035.30/408,110.55 = 82,480.10/x
  3. Step 3: Cross multiply
    272,035.30x = 408,110.55 × 82,480.10
  4. Step 4: Simplify right side
    272,035.30x = 33,660,998,975.06
  5. Step 5: Solve for x
    x = 33,660,998,975.06/272,035.30
  6. Step 6: Final answer
    x = 123,737.61

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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.