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Finding the Fourth Proportional to 265,769.15, 398,693.89 and 85,794.44

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Solution

The fourth proportional to 265,769.15, 398,693.89 and 85,794.44 is: 128,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,769.15 : 398,693.89 = 85,794.44 : x
  2. Step 2: Convert to fraction form
    265,769.15/398,693.89 = 85,794.44/x
  3. Step 3: Cross multiply
    265,769.15x = 398,693.89 × 85,794.44
  4. Step 4: Simplify right side
    265,769.15x = 34,205,719,023.97
  5. Step 5: Solve for x
    x = 34,205,719,023.97/265,769.15
  6. Step 6: Final answer
    x = 128,704.63

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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.