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Finding the Fourth Proportional to 198,894.48, 274,502.76 and 112,874.61

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Solution

The fourth proportional to 198,894.48, 274,502.76 and 112,874.61 is: 155,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,894.48 : 274,502.76 = 112,874.61 : x
  2. Step 2: Convert to fraction form
    198,894.48/274,502.76 = 112,874.61/x
  3. Step 3: Cross multiply
    198,894.48x = 274,502.76 × 112,874.61
  4. Step 4: Simplify right side
    198,894.48x = 30,984,391,978.92
  5. Step 5: Solve for x
    x = 30,984,391,978.92/198,894.48
  6. Step 6: Final answer
    x = 155,783.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.