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Finding the Fourth Proportional to 120,990, 166,966.20 and 67,998

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Solution

The fourth proportional to 120,990, 166,966.20 and 67,998 is: 93,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,990 : 166,966.20 = 67,998 : x
  2. Step 2: Convert to fraction form
    120,990/166,966.20 = 67,998/x
  3. Step 3: Cross multiply
    120,990x = 166,966.20 × 67,998
  4. Step 4: Simplify right side
    120,990x = 11,353,367,667.60
  5. Step 5: Solve for x
    x = 11,353,367,667.60/120,990
  6. Step 6: Final answer
    x = 93,837.24

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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.