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Finding the Fourth Proportional to 265,891.32, 398,734.20 and 103,765.32

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Solution

The fourth proportional to 265,891.32, 398,734.20 and 103,765.32 is: 155,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,891.32 : 398,734.20 = 103,765.32 : x
  2. Step 2: Convert to fraction form
    265,891.32/398,734.20 = 103,765.32/x
  3. Step 3: Cross multiply
    265,891.32x = 398,734.20 × 103,765.32
  4. Step 4: Simplify right side
    265,891.32x = 41,374,781,857.94
  5. Step 5: Solve for x
    x = 41,374,781,857.94/265,891.32
  6. Step 6: Final answer
    x = 155,607.87

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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.