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Finding the Fourth Proportional to 198,711.82, 274,083.51 and 134,938.90

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Solution

The fourth proportional to 198,711.82, 274,083.51 and 134,938.90 is: 186,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,711.82 : 274,083.51 = 134,938.90 : x
  2. Step 2: Convert to fraction form
    198,711.82/274,083.51 = 134,938.90/x
  3. Step 3: Cross multiply
    198,711.82x = 274,083.51 × 134,938.90
  4. Step 4: Simplify right side
    198,711.82x = 36,984,527,347.54
  5. Step 5: Solve for x
    x = 36,984,527,347.54/198,711.82
  6. Step 6: Final answer
    x = 186,121.43

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1.5x scale

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.