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Finding the Fourth Proportional to 118,615.76, 177,726.80 and 83,481.60

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Solution

The fourth proportional to 118,615.76, 177,726.80 and 83,481.60 is: 125,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,615.76 : 177,726.80 = 83,481.60 : x
  2. Step 2: Convert to fraction form
    118,615.76/177,726.80 = 83,481.60/x
  3. Step 3: Cross multiply
    118,615.76x = 177,726.80 × 83,481.60
  4. Step 4: Simplify right side
    118,615.76x = 14,836,918,502.06
  5. Step 5: Solve for x
    x = 14,836,918,502.06/118,615.76
  6. Step 6: Final answer
    x = 125,083.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.