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Finding the Fourth Proportional to 138,199.52, 190,704.88 and 81,600

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Solution

The fourth proportional to 138,199.52, 190,704.88 and 81,600 is: 112,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,199.52 : 190,704.88 = 81,600 : x
  2. Step 2: Convert to fraction form
    138,199.52/190,704.88 = 81,600/x
  3. Step 3: Cross multiply
    138,199.52x = 190,704.88 × 81,600
  4. Step 4: Simplify right side
    138,199.52x = 15,561,518,208
  5. Step 5: Solve for x
    x = 15,561,518,208/138,199.52
  6. Step 6: Final answer
    x = 112,601.83

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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.