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Finding the Fourth Proportional to 70,134, 96,784.92 and 40,326

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Solution

The fourth proportional to 70,134, 96,784.92 and 40,326 is: 55,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,134 : 96,784.92 = 40,326 : x
  2. Step 2: Convert to fraction form
    70,134/96,784.92 = 40,326/x
  3. Step 3: Cross multiply
    70,134x = 96,784.92 × 40,326
  4. Step 4: Simplify right side
    70,134x = 3,902,948,683.92
  5. Step 5: Solve for x
    x = 3,902,948,683.92/70,134
  6. Step 6: Final answer
    x = 55,649.88

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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.