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Finding the Fourth Proportional to 265,761.29, 398,682.09 and 85,786.58

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Solution

The fourth proportional to 265,761.29, 398,682.09 and 85,786.58 is: 128,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,761.29 : 398,682.09 = 85,786.58 : x
  2. Step 2: Convert to fraction form
    265,761.29/398,682.09 = 85,786.58/x
  3. Step 3: Cross multiply
    265,761.29x = 398,682.09 × 85,786.58
  4. Step 4: Simplify right side
    265,761.29x = 34,201,573,008.35
  5. Step 5: Solve for x
    x = 34,201,573,008.35/265,761.29
  6. Step 6: Final answer
    x = 128,692.83

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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.