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Finding the Fourth Proportional to 198,851.31, 298,323.66 and 65,731.56

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Solution

The fourth proportional to 198,851.31, 298,323.66 and 65,731.56 is: 98,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,851.31 : 298,323.66 = 65,731.56 : x
  2. Step 2: Convert to fraction form
    198,851.31/298,323.66 = 65,731.56/x
  3. Step 3: Cross multiply
    198,851.31x = 298,323.66 × 65,731.56
  4. Step 4: Simplify right side
    198,851.31x = 19,609,279,556.71
  5. Step 5: Solve for x
    x = 19,609,279,556.71/198,851.31
  6. Step 6: Final answer
    x = 98,612.78

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1.5x scale

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.