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Finding the Fourth Proportional to 140,231.65, 193,286.65 and 99,343.31

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Solution

The fourth proportional to 140,231.65, 193,286.65 and 99,343.31 is: 136,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,231.65 : 193,286.65 = 99,343.31 : x
  2. Step 2: Convert to fraction form
    140,231.65/193,286.65 = 99,343.31/x
  3. Step 3: Cross multiply
    140,231.65x = 193,286.65 × 99,343.31
  4. Step 4: Simplify right side
    140,231.65x = 19,201,734,375.02
  5. Step 5: Solve for x
    x = 19,201,734,375.02/140,231.65
  6. Step 6: Final answer
    x = 136,928.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.