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Finding the Fourth Proportional to 120,872.50, 166,630.82 and 84,951.02

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Solution

The fourth proportional to 120,872.50, 166,630.82 and 84,951.02 is: 117,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,872.50 : 166,630.82 = 84,951.02 : x
  2. Step 2: Convert to fraction form
    120,872.50/166,630.82 = 84,951.02/x
  3. Step 3: Cross multiply
    120,872.50x = 166,630.82 × 84,951.02
  4. Step 4: Simplify right side
    120,872.50x = 14,155,458,122.44
  5. Step 5: Solve for x
    x = 14,155,458,122.44/120,872.50
  6. Step 6: Final answer
    x = 117,110.66

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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.