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Finding the Fourth Proportional to 198,687.60, 298,031.40 and 127,828.80

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Solution

The fourth proportional to 198,687.60, 298,031.40 and 127,828.80 is: 191,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,687.60 : 298,031.40 = 127,828.80 : x
  2. Step 2: Convert to fraction form
    198,687.60/298,031.40 = 127,828.80/x
  3. Step 3: Cross multiply
    198,687.60x = 298,031.40 × 127,828.80
  4. Step 4: Simplify right side
    198,687.60x = 38,096,996,224.32
  5. Step 5: Solve for x
    x = 38,096,996,224.32/198,687.60
  6. Step 6: Final answer
    x = 191,743.20

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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.