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Finding the Fourth Proportional to 121,118.25, 166,969.97 and 85,196.78

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Solution

The fourth proportional to 121,118.25, 166,969.97 and 85,196.78 is: 117,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,118.25 : 166,969.97 = 85,196.78 : x
  2. Step 2: Convert to fraction form
    121,118.25/166,969.97 = 85,196.78/x
  3. Step 3: Cross multiply
    121,118.25x = 166,969.97 × 85,196.78
  4. Step 4: Simplify right side
    121,118.25x = 14,225,302,539.86
  5. Step 5: Solve for x
    x = 14,225,302,539.86/121,118.25
  6. Step 6: Final answer
    x = 117,449.70

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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.