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Finding the Fourth Proportional to 138,112.44, 190,591 and 77,686.44

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Solution

The fourth proportional to 138,112.44, 190,591 and 77,686.44 is: 107,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,112.44 : 190,591 = 77,686.44 : x
  2. Step 2: Convert to fraction form
    138,112.44/190,591 = 77,686.44/x
  3. Step 3: Cross multiply
    138,112.44x = 190,591 × 77,686.44
  4. Step 4: Simplify right side
    138,112.44x = 14,806,336,286.04
  5. Step 5: Solve for x
    x = 14,806,336,286.04/138,112.44
  6. Step 6: Final answer
    x = 107,204.94

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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.