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Finding the Fourth Proportional to 198,642.76, 297,870.48 and 72,194.06

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Solution

The fourth proportional to 198,642.76, 297,870.48 and 72,194.06 is: 108,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,642.76 : 297,870.48 = 72,194.06 : x
  2. Step 2: Convert to fraction form
    198,642.76/297,870.48 = 72,194.06/x
  3. Step 3: Cross multiply
    198,642.76x = 297,870.48 × 72,194.06
  4. Step 4: Simplify right side
    198,642.76x = 21,504,480,050.03
  5. Step 5: Solve for x
    x = 21,504,480,050.03/198,642.76
  6. Step 6: Final answer
    x = 108,257.06

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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.