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Finding the Fourth Proportional to 138,902.11, 191,673.54 and 78,478

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Solution

The fourth proportional to 138,902.11, 191,673.54 and 78,478 is: 108,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,902.11 : 191,673.54 = 78,478 : x
  2. Step 2: Convert to fraction form
    138,902.11/191,673.54 = 78,478/x
  3. Step 3: Cross multiply
    138,902.11x = 191,673.54 × 78,478
  4. Step 4: Simplify right side
    138,902.11x = 15,042,156,072.12
  5. Step 5: Solve for x
    x = 15,042,156,072.12/138,902.11
  6. Step 6: Final answer
    x = 108,293.22

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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.