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Finding the Fourth Proportional to 121,608.28, 167,847.42 and 71,323.48

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Solution

The fourth proportional to 121,608.28, 167,847.42 and 71,323.48 is: 98,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,608.28 : 167,847.42 = 71,323.48 : x
  2. Step 2: Convert to fraction form
    121,608.28/167,847.42 = 71,323.48/x
  3. Step 3: Cross multiply
    121,608.28x = 167,847.42 × 71,323.48
  4. Step 4: Simplify right side
    121,608.28x = 11,971,462,103.42
  5. Step 5: Solve for x
    x = 11,971,462,103.42/121,608.28
  6. Step 6: Final answer
    x = 98,442.82

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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.