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Finding the Fourth Proportional to 118,974.62, 164,128.38 and 71,218.80

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Solution

The fourth proportional to 118,974.62, 164,128.38 and 71,218.80 is: 98,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,974.62 : 164,128.38 = 71,218.80 : x
  2. Step 2: Convert to fraction form
    118,974.62/164,128.38 = 71,218.80/x
  3. Step 3: Cross multiply
    118,974.62x = 164,128.38 × 71,218.80
  4. Step 4: Simplify right side
    118,974.62x = 11,689,026,269.54
  5. Step 5: Solve for x
    x = 11,689,026,269.54/118,974.62
  6. Step 6: Final answer
    x = 98,248.07

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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.