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Finding the Fourth Proportional to 120,793.80, 166,719.08 and 77,158.28

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Solution

The fourth proportional to 120,793.80, 166,719.08 and 77,158.28 is: 106,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,793.80 : 166,719.08 = 77,158.28 : x
  2. Step 2: Convert to fraction form
    120,793.80/166,719.08 = 77,158.28/x
  3. Step 3: Cross multiply
    120,793.80x = 166,719.08 × 77,158.28
  4. Step 4: Simplify right side
    120,793.80x = 12,863,757,455.98
  5. Step 5: Solve for x
    x = 12,863,757,455.98/120,793.80
  6. Step 6: Final answer
    x = 106,493.52

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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.