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Finding the Fourth Proportional to 135,476.91, 186,964.74 and 81,760.95

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Solution

The fourth proportional to 135,476.91, 186,964.74 and 81,760.95 is: 112,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,476.91 : 186,964.74 = 81,760.95 : x
  2. Step 2: Convert to fraction form
    135,476.91/186,964.74 = 81,760.95/x
  3. Step 3: Cross multiply
    135,476.91x = 186,964.74 × 81,760.95
  4. Step 4: Simplify right side
    135,476.91x = 15,286,414,758.90
  5. Step 5: Solve for x
    x = 15,286,414,758.90/135,476.91
  6. Step 6: Final answer
    x = 112,834.10

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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.