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Finding the Fourth Proportional to 198,778.88, 274,309.88 and 113,890.46

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Solution

The fourth proportional to 198,778.88, 274,309.88 and 113,890.46 is: 157,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,778.88 : 274,309.88 = 113,890.46 : x
  2. Step 2: Convert to fraction form
    198,778.88/274,309.88 = 113,890.46/x
  3. Step 3: Cross multiply
    198,778.88x = 274,309.88 × 113,890.46
  4. Step 4: Simplify right side
    198,778.88x = 31,241,278,415.74
  5. Step 5: Solve for x
    x = 31,241,278,415.74/198,778.88
  6. Step 6: Final answer
    x = 157,165.98

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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.