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Finding the Fourth Proportional to 120,978.14, 166,954.12 and 67,278.38

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Solution

The fourth proportional to 120,978.14, 166,954.12 and 67,278.38 is: 92,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,978.14 : 166,954.12 = 67,278.38 : x
  2. Step 2: Convert to fraction form
    120,978.14/166,954.12 = 67,278.38/x
  3. Step 3: Cross multiply
    120,978.14x = 166,954.12 × 67,278.38
  4. Step 4: Simplify right side
    120,978.14x = 11,232,402,727.93
  5. Step 5: Solve for x
    x = 11,232,402,727.93/120,978.14
  6. Step 6: Final answer
    x = 92,846.55

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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.