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Finding the Fourth Proportional to 120,930, 166,871.84 and 112,013.52

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Solution

The fourth proportional to 120,930, 166,871.84 and 112,013.52 is: 154,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930 : 166,871.84 = 112,013.52 : x
  2. Step 2: Convert to fraction form
    120,930/166,871.84 = 112,013.52/x
  3. Step 3: Cross multiply
    120,930x = 166,871.84 × 112,013.52
  4. Step 4: Simplify right side
    120,930x = 18,691,902,187.28
  5. Step 5: Solve for x
    x = 18,691,902,187.28/120,930
  6. Step 6: Final answer
    x = 154,567.95

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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.