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Finding the Fourth Proportional to 120,432, 166,195.84 and 66,717.12

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Solution

The fourth proportional to 120,432, 166,195.84 and 66,717.12 is: 92,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,432 : 166,195.84 = 66,717.12 : x
  2. Step 2: Convert to fraction form
    120,432/166,195.84 = 66,717.12/x
  3. Step 3: Cross multiply
    120,432x = 166,195.84 × 66,717.12
  4. Step 4: Simplify right side
    120,432x = 11,088,107,800.78
  5. Step 5: Solve for x
    x = 11,088,107,800.78/120,432
  6. Step 6: Final answer
    x = 92,069.45

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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.