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Finding the Fourth Proportional to 265,537.97, 398,363.72 and 85,633.66

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Solution

The fourth proportional to 265,537.97, 398,363.72 and 85,633.66 is: 128,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,537.97 : 398,363.72 = 85,633.66 : x
  2. Step 2: Convert to fraction form
    265,537.97/398,363.72 = 85,633.66/x
  3. Step 3: Cross multiply
    265,537.97x = 398,363.72 × 85,633.66
  4. Step 4: Simplify right side
    265,537.97x = 34,113,341,665.50
  5. Step 5: Solve for x
    x = 34,113,341,665.50/265,537.97
  6. Step 6: Final answer
    x = 128,468.79

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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.