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Finding the Fourth Proportional to 198,695.40, 274,206.85 and 113,828.86

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Solution

The fourth proportional to 198,695.40, 274,206.85 and 113,828.86 is: 157,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,695.40 : 274,206.85 = 113,828.86 : x
  2. Step 2: Convert to fraction form
    198,695.40/274,206.85 = 113,828.86/x
  3. Step 3: Cross multiply
    198,695.40x = 274,206.85 × 113,828.86
  4. Step 4: Simplify right side
    198,695.40x = 31,212,653,838.16
  5. Step 5: Solve for x
    x = 31,212,653,838.16/198,695.40
  6. Step 6: Final answer
    x = 157,087.96

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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.