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Finding the Fourth Proportional to 120,625.50, 166,438.47 and 66,899.01

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Solution

The fourth proportional to 120,625.50, 166,438.47 and 66,899.01 is: 92,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,625.50 : 166,438.47 = 66,899.01 : x
  2. Step 2: Convert to fraction form
    120,625.50/166,438.47 = 66,899.01/x
  3. Step 3: Cross multiply
    120,625.50x = 166,438.47 × 66,899.01
  4. Step 4: Simplify right side
    120,625.50x = 11,134,568,868.91
  5. Step 5: Solve for x
    x = 11,134,568,868.91/120,625.50
  6. Step 6: Final answer
    x = 92,306.92

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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.