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Finding the Fourth Proportional to 120,803.49, 166,654.17 and 77,767.56

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Solution

The fourth proportional to 120,803.49, 166,654.17 and 77,767.56 is: 107,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,803.49 : 166,654.17 = 77,767.56 : x
  2. Step 2: Convert to fraction form
    120,803.49/166,654.17 = 77,767.56/x
  3. Step 3: Cross multiply
    120,803.49x = 166,654.17 × 77,767.56
  4. Step 4: Simplify right side
    120,803.49x = 12,960,288,164.73
  5. Step 5: Solve for x
    x = 12,960,288,164.73/120,803.49
  6. Step 6: Final answer
    x = 107,284.05

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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.