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Finding the Fourth Proportional to 120,575.84, 166,393.98 and 66,868.78

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Solution

The fourth proportional to 120,575.84, 166,393.98 and 66,868.78 is: 92,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,575.84 : 166,393.98 = 66,868.78 : x
  2. Step 2: Convert to fraction form
    120,575.84/166,393.98 = 66,868.78/x
  3. Step 3: Cross multiply
    120,575.84x = 166,393.98 × 66,868.78
  4. Step 4: Simplify right side
    120,575.84x = 11,126,562,441.94
  5. Step 5: Solve for x
    x = 11,126,562,441.94/120,575.84
  6. Step 6: Final answer
    x = 92,278.54

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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.