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Finding the Fourth Proportional to 243,908.70, 365,978.07 and 86,211.42

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Solution

The fourth proportional to 243,908.70, 365,978.07 and 86,211.42 is: 129,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,908.70 : 365,978.07 = 86,211.42 : x
  2. Step 2: Convert to fraction form
    243,908.70/365,978.07 = 86,211.42/x
  3. Step 3: Cross multiply
    243,908.70x = 365,978.07 × 86,211.42
  4. Step 4: Simplify right side
    243,908.70x = 31,551,489,103.56
  5. Step 5: Solve for x
    x = 31,551,489,103.56/243,908.70
  6. Step 6: Final answer
    x = 129,357.78

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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.