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Finding the Fourth Proportional to 138,776.96, 208,359.84 and 86,026.88

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Solution

The fourth proportional to 138,776.96, 208,359.84 and 86,026.88 is: 129,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,776.96 : 208,359.84 = 86,026.88 : x
  2. Step 2: Convert to fraction form
    138,776.96/208,359.84 = 86,026.88/x
  3. Step 3: Cross multiply
    138,776.96x = 208,359.84 × 86,026.88
  4. Step 4: Simplify right side
    138,776.96x = 17,924,546,952.50
  5. Step 5: Solve for x
    x = 17,924,546,952.50/138,776.96
  6. Step 6: Final answer
    x = 129,160.83

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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.