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Finding the Fourth Proportional to 138,110.58, 190,591.56 and 78,494.58

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Solution

The fourth proportional to 138,110.58, 190,591.56 and 78,494.58 is: 108,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,110.58 : 190,591.56 = 78,494.58 : x
  2. Step 2: Convert to fraction form
    138,110.58/190,591.56 = 78,494.58/x
  3. Step 3: Cross multiply
    138,110.58x = 190,591.56 × 78,494.58
  4. Step 4: Simplify right side
    138,110.58x = 14,960,404,453.74
  5. Step 5: Solve for x
    x = 14,960,404,453.74/138,110.58
  6. Step 6: Final answer
    x = 108,321.93

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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.