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Finding the Fourth Proportional to 276,027.68, 414,041.02 and 86,502.58

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Solution

The fourth proportional to 276,027.68, 414,041.02 and 86,502.58 is: 129,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,027.68 : 414,041.02 = 86,502.58 : x
  2. Step 2: Convert to fraction form
    276,027.68/414,041.02 = 86,502.58/x
  3. Step 3: Cross multiply
    276,027.68x = 414,041.02 × 86,502.58
  4. Step 4: Simplify right side
    276,027.68x = 35,815,615,204.47
  5. Step 5: Solve for x
    x = 35,815,615,204.47/276,027.68
  6. Step 6: Final answer
    x = 129,753.71

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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.