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Finding the Fourth Proportional to 120,565.76, 166,374.59 and 66,850.25

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Solution

The fourth proportional to 120,565.76, 166,374.59 and 66,850.25 is: 92,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,565.76 : 166,374.59 = 66,850.25 : x
  2. Step 2: Convert to fraction form
    120,565.76/166,374.59 = 66,850.25/x
  3. Step 3: Cross multiply
    120,565.76x = 166,374.59 × 66,850.25
  4. Step 4: Simplify right side
    120,565.76x = 11,122,181,769.02
  5. Step 5: Solve for x
    x = 11,122,181,769.02/120,565.76
  6. Step 6: Final answer
    x = 92,249.92

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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.