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Finding the Fourth Proportional to 120,408.62, 166,119.28 and 77,990.54

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Solution

The fourth proportional to 120,408.62, 166,119.28 and 77,990.54 is: 107,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408.62 : 166,119.28 = 77,990.54 : x
  2. Step 2: Convert to fraction form
    120,408.62/166,119.28 = 77,990.54/x
  3. Step 3: Cross multiply
    120,408.62x = 166,119.28 × 77,990.54
  4. Step 4: Simplify right side
    120,408.62x = 12,955,731,326.04
  5. Step 5: Solve for x
    x = 12,955,731,326.04/120,408.62
  6. Step 6: Final answer
    x = 107,598.04

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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.