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Finding the Fourth Proportional to 138,144.93, 190,640.30 and 81,559.95

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Solution

The fourth proportional to 138,144.93, 190,640.30 and 81,559.95 is: 112,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144.93 : 190,640.30 = 81,559.95 : x
  2. Step 2: Convert to fraction form
    138,144.93/190,640.30 = 81,559.95/x
  3. Step 3: Cross multiply
    138,144.93x = 190,640.30 × 81,559.95
  4. Step 4: Simplify right side
    138,144.93x = 15,548,612,928.19
  5. Step 5: Solve for x
    x = 15,548,612,928.19/138,144.93
  6. Step 6: Final answer
    x = 112,552.90

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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.