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Finding the Fourth Proportional to 138,115.97, 190,602 and 81,527.34

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Solution

The fourth proportional to 138,115.97, 190,602 and 81,527.34 is: 112,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,115.97 : 190,602 = 81,527.34 : x
  2. Step 2: Convert to fraction form
    138,115.97/190,602 = 81,527.34/x
  3. Step 3: Cross multiply
    138,115.97x = 190,602 × 81,527.34
  4. Step 4: Simplify right side
    138,115.97x = 15,539,274,058.68
  5. Step 5: Solve for x
    x = 15,539,274,058.68/138,115.97
  6. Step 6: Final answer
    x = 112,508.89

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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.