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Finding the Fourth Proportional to 140,278.64, 193,576.68 and 79,864

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Solution

The fourth proportional to 140,278.64, 193,576.68 and 79,864 is: 110,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,278.64 : 193,576.68 = 79,864 : x
  2. Step 2: Convert to fraction form
    140,278.64/193,576.68 = 79,864/x
  3. Step 3: Cross multiply
    140,278.64x = 193,576.68 × 79,864
  4. Step 4: Simplify right side
    140,278.64x = 15,459,807,971.52
  5. Step 5: Solve for x
    x = 15,459,807,971.52/140,278.64
  6. Step 6: Final answer
    x = 110,207.85

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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.