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Finding the Fourth Proportional to 121,442.40, 167,523.12 and 71,131.68

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Solution

The fourth proportional to 121,442.40, 167,523.12 and 71,131.68 is: 98,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,442.40 : 167,523.12 = 71,131.68 : x
  2. Step 2: Convert to fraction form
    121,442.40/167,523.12 = 71,131.68/x
  3. Step 3: Cross multiply
    121,442.40x = 167,523.12 × 71,131.68
  4. Step 4: Simplify right side
    121,442.40x = 11,916,200,964.44
  5. Step 5: Solve for x
    x = 11,916,200,964.44/121,442.40
  6. Step 6: Final answer
    x = 98,122.25

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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.