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Finding the Fourth Proportional to 138,876.73, 191,661.69 and 78,458.46

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Solution

The fourth proportional to 138,876.73, 191,661.69 and 78,458.46 is: 108,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876.73 : 191,661.69 = 78,458.46 : x
  2. Step 2: Convert to fraction form
    138,876.73/191,661.69 = 78,458.46/x
  3. Step 3: Cross multiply
    138,876.73x = 191,661.69 × 78,458.46
  4. Step 4: Simplify right side
    138,876.73x = 15,037,481,038.40
  5. Step 5: Solve for x
    x = 15,037,481,038.40/138,876.73
  6. Step 6: Final answer
    x = 108,279.34

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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.