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Finding the Fourth Proportional to 272,465.78, 408,719.12 and 72,781.74

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Solution

The fourth proportional to 272,465.78, 408,719.12 and 72,781.74 is: 109,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,465.78 : 408,719.12 = 72,781.74 : x
  2. Step 2: Convert to fraction form
    272,465.78/408,719.12 = 72,781.74/x
  3. Step 3: Cross multiply
    272,465.78x = 408,719.12 × 72,781.74
  4. Step 4: Simplify right side
    272,465.78x = 29,747,288,360.96
  5. Step 5: Solve for x
    x = 29,747,288,360.96/272,465.78
  6. Step 6: Final answer
    x = 109,178.07

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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.