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Finding the Fourth Proportional to 254,529.92, 381,795.90 and 86,051.14

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Solution

The fourth proportional to 254,529.92, 381,795.90 and 86,051.14 is: 129,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,529.92 : 381,795.90 = 86,051.14 : x
  2. Step 2: Convert to fraction form
    254,529.92/381,795.90 = 86,051.14/x
  3. Step 3: Cross multiply
    254,529.92x = 381,795.90 × 86,051.14
  4. Step 4: Simplify right side
    254,529.92x = 32,853,972,442.33
  5. Step 5: Solve for x
    x = 32,853,972,442.33/254,529.92
  6. Step 6: Final answer
    x = 129,077.05

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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.