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Finding the Fourth Proportional to 120,877.58, 166,759.38 and 75,524.66

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Solution

The fourth proportional to 120,877.58, 166,759.38 and 75,524.66 is: 104,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,877.58 : 166,759.38 = 75,524.66 : x
  2. Step 2: Convert to fraction form
    120,877.58/166,759.38 = 75,524.66/x
  3. Step 3: Cross multiply
    120,877.58x = 166,759.38 × 75,524.66
  4. Step 4: Simplify right side
    120,877.58x = 12,594,445,893.21
  5. Step 5: Solve for x
    x = 12,594,445,893.21/120,877.58
  6. Step 6: Final answer
    x = 104,191.75

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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.