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Finding the Fourth Proportional to 121,422.96, 167,580.12 and 71,142

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Solution

The fourth proportional to 121,422.96, 167,580.12 and 71,142 is: 98,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,422.96 : 167,580.12 = 71,142 : x
  2. Step 2: Convert to fraction form
    121,422.96/167,580.12 = 71,142/x
  3. Step 3: Cross multiply
    121,422.96x = 167,580.12 × 71,142
  4. Step 4: Simplify right side
    121,422.96x = 11,921,984,897.04
  5. Step 5: Solve for x
    x = 11,921,984,897.04/121,422.96
  6. Step 6: Final answer
    x = 98,185.59

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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.