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Finding the Fourth Proportional to 121,518, 167,701.32 and 71,233.20

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Solution

The fourth proportional to 121,518, 167,701.32 and 71,233.20 is: 98,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,518 : 167,701.32 = 71,233.20 : x
  2. Step 2: Convert to fraction form
    121,518/167,701.32 = 71,233.20/x
  3. Step 3: Cross multiply
    121,518x = 167,701.32 × 71,233.20
  4. Step 4: Simplify right side
    121,518x = 11,945,901,667.82
  5. Step 5: Solve for x
    x = 11,945,901,667.82/121,518
  6. Step 6: Final answer
    x = 98,305.61

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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.