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Finding the Fourth Proportional to 198,693.86, 274,204.71 and 113,827.32

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Solution

The fourth proportional to 198,693.86, 274,204.71 and 113,827.32 is: 157,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,693.86 : 274,204.71 = 113,827.32 : x
  2. Step 2: Convert to fraction form
    198,693.86/274,204.71 = 113,827.32/x
  3. Step 3: Cross multiply
    198,693.86x = 274,204.71 × 113,827.32
  4. Step 4: Simplify right side
    198,693.86x = 31,211,987,270.68
  5. Step 5: Solve for x
    x = 31,211,987,270.68/198,693.86
  6. Step 6: Final answer
    x = 157,085.82

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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.