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Finding the Fourth Proportional to 121,317.12, 167,432.16 and 71,016

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Solution

The fourth proportional to 121,317.12, 167,432.16 and 71,016 is: 98,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,317.12 : 167,432.16 = 71,016 : x
  2. Step 2: Convert to fraction form
    121,317.12/167,432.16 = 71,016/x
  3. Step 3: Cross multiply
    121,317.12x = 167,432.16 × 71,016
  4. Step 4: Simplify right side
    121,317.12x = 11,890,362,274.56
  5. Step 5: Solve for x
    x = 11,890,362,274.56/121,317.12
  6. Step 6: Final answer
    x = 98,010.59

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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.