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Finding the Fourth Proportional to 121,602.52, 167,781.86 and 71,291.80

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Solution

The fourth proportional to 121,602.52, 167,781.86 and 71,291.80 is: 98,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,602.52 : 167,781.86 = 71,291.80 : x
  2. Step 2: Convert to fraction form
    121,602.52/167,781.86 = 71,291.80/x
  3. Step 3: Cross multiply
    121,602.52x = 167,781.86 × 71,291.80
  4. Step 4: Simplify right side
    121,602.52x = 11,961,470,806.75
  5. Step 5: Solve for x
    x = 11,961,470,806.75/121,602.52
  6. Step 6: Final answer
    x = 98,365.32

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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.