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Finding the Fourth Proportional to 138,778.96, 208,362.84 and 86,028.88

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Solution

The fourth proportional to 138,778.96, 208,362.84 and 86,028.88 is: 129,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,778.96 : 208,362.84 = 86,028.88 : x
  2. Step 2: Convert to fraction form
    138,778.96/208,362.84 = 86,028.88/x
  3. Step 3: Cross multiply
    138,778.96x = 208,362.84 × 86,028.88
  4. Step 4: Simplify right side
    138,778.96x = 17,925,221,758.82
  5. Step 5: Solve for x
    x = 17,925,221,758.82/138,778.96
  6. Step 6: Final answer
    x = 129,163.83

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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.