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Finding the Fourth Proportional to 138,676.69, 191,373.87 and 78,260.14

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Solution

The fourth proportional to 138,676.69, 191,373.87 and 78,260.14 is: 107,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,676.69 : 191,373.87 = 78,260.14 : x
  2. Step 2: Convert to fraction form
    138,676.69/191,373.87 = 78,260.14/x
  3. Step 3: Cross multiply
    138,676.69x = 191,373.87 × 78,260.14
  4. Step 4: Simplify right side
    138,676.69x = 14,976,945,858.54
  5. Step 5: Solve for x
    x = 14,976,945,858.54/138,676.69
  6. Step 6: Final answer
    x = 107,999.01

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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.