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Finding the Fourth Proportional to 138,059.97, 190,521.78 and 78,443.97

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Solution

The fourth proportional to 138,059.97, 190,521.78 and 78,443.97 is: 108,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,059.97 : 190,521.78 = 78,443.97 : x
  2. Step 2: Convert to fraction form
    138,059.97/190,521.78 = 78,443.97/x
  3. Step 3: Cross multiply
    138,059.97x = 190,521.78 × 78,443.97
  4. Step 4: Simplify right side
    138,059.97x = 14,945,284,794.67
  5. Step 5: Solve for x
    x = 14,945,284,794.67/138,059.97
  6. Step 6: Final answer
    x = 108,252.12

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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.