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Finding the Fourth Proportional to 254,626.29, 381,929.72 and 86,159.25

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Solution

The fourth proportional to 254,626.29, 381,929.72 and 86,159.25 is: 129,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,626.29 : 381,929.72 = 86,159.25 : x
  2. Step 2: Convert to fraction form
    254,626.29/381,929.72 = 86,159.25/x
  3. Step 3: Cross multiply
    254,626.29x = 381,929.72 × 86,159.25
  4. Step 4: Simplify right side
    254,626.29x = 32,906,777,797.11
  5. Step 5: Solve for x
    x = 32,906,777,797.11/254,626.29
  6. Step 6: Final answer
    x = 129,235.59

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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.