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Finding the Fourth Proportional to 254,565.68, 381,849.60 and 86,086.88

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Solution

The fourth proportional to 254,565.68, 381,849.60 and 86,086.88 is: 129,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,565.68 : 381,849.60 = 86,086.88 : x
  2. Step 2: Convert to fraction form
    254,565.68/381,849.60 = 86,086.88/x
  3. Step 3: Cross multiply
    254,565.68x = 381,849.60 × 86,086.88
  4. Step 4: Simplify right side
    254,565.68x = 32,872,240,693.25
  5. Step 5: Solve for x
    x = 32,872,240,693.25/254,565.68
  6. Step 6: Final answer
    x = 129,130.69

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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.