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Finding the Fourth Proportional to 198,952.56, 298,029.06 and 98,809.80

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Solution

The fourth proportional to 198,952.56, 298,029.06 and 98,809.80 is: 148,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,952.56 : 298,029.06 = 98,809.80 : x
  2. Step 2: Convert to fraction form
    198,952.56/298,029.06 = 98,809.80/x
  3. Step 3: Cross multiply
    198,952.56x = 298,029.06 × 98,809.80
  4. Step 4: Simplify right side
    198,952.56x = 29,448,191,812.79
  5. Step 5: Solve for x
    x = 29,448,191,812.79/198,952.56
  6. Step 6: Final answer
    x = 148,016.15

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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.