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Finding the Fourth Proportional to 198,151.91, 297,224.42 and 79,820.22

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Solution

The fourth proportional to 198,151.91, 297,224.42 and 79,820.22 is: 119,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,151.91 : 297,224.42 = 79,820.22 : x
  2. Step 2: Convert to fraction form
    198,151.91/297,224.42 = 79,820.22/x
  3. Step 3: Cross multiply
    198,151.91x = 297,224.42 × 79,820.22
  4. Step 4: Simplify right side
    198,151.91x = 23,724,518,194.67
  5. Step 5: Solve for x
    x = 23,724,518,194.67/198,151.91
  6. Step 6: Final answer
    x = 119,728.94

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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.