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Finding the Fourth Proportional to 121,114.80, 166,965.21 and 85,193.33

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Solution

The fourth proportional to 121,114.80, 166,965.21 and 85,193.33 is: 117,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114.80 : 166,965.21 = 85,193.33 : x
  2. Step 2: Convert to fraction form
    121,114.80/166,965.21 = 85,193.33/x
  3. Step 3: Cross multiply
    121,114.80x = 166,965.21 × 85,193.33
  4. Step 4: Simplify right side
    121,114.80x = 14,224,321,399.22
  5. Step 5: Solve for x
    x = 14,224,321,399.22/121,114.80
  6. Step 6: Final answer
    x = 117,444.95

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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.