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Finding the Fourth Proportional to 138,546.80, 191,190.74 and 78,116.93

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Solution

The fourth proportional to 138,546.80, 191,190.74 and 78,116.93 is: 107,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546.80 : 191,190.74 = 78,116.93 : x
  2. Step 2: Convert to fraction form
    138,546.80/191,190.74 = 78,116.93/x
  3. Step 3: Cross multiply
    138,546.80x = 191,190.74 × 78,116.93
  4. Step 4: Simplify right side
    138,546.80x = 14,935,233,262.64
  5. Step 5: Solve for x
    x = 14,935,233,262.64/138,546.80
  6. Step 6: Final answer
    x = 107,799.19

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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.