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Finding the Fourth Proportional to 198,697.79, 274,191.86 and 113,820.32

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Solution

The fourth proportional to 198,697.79, 274,191.86 and 113,820.32 is: 157,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,697.79 : 274,191.86 = 113,820.32 : x
  2. Step 2: Convert to fraction form
    198,697.79/274,191.86 = 113,820.32/x
  3. Step 3: Cross multiply
    198,697.79x = 274,191.86 × 113,820.32
  4. Step 4: Simplify right side
    198,697.79x = 31,208,603,306.53
  5. Step 5: Solve for x
    x = 31,208,603,306.53/198,697.79
  6. Step 6: Final answer
    x = 157,065.68

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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.