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Finding the Fourth Proportional to 120,472, 166,251.36 and 67,480

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Solution

The fourth proportional to 120,472, 166,251.36 and 67,480 is: 93,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,472 : 166,251.36 = 67,480 : x
  2. Step 2: Convert to fraction form
    120,472/166,251.36 = 67,480/x
  3. Step 3: Cross multiply
    120,472x = 166,251.36 × 67,480
  4. Step 4: Simplify right side
    120,472x = 11,218,641,772.80
  5. Step 5: Solve for x
    x = 11,218,641,772.80/120,472
  6. Step 6: Final answer
    x = 93,122.40

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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.