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Finding the Fourth Proportional to 199,211.78, 274,904.22 and 108,565.82

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Solution

The fourth proportional to 199,211.78, 274,904.22 and 108,565.82 is: 149,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,211.78 : 274,904.22 = 108,565.82 : x
  2. Step 2: Convert to fraction form
    199,211.78/274,904.22 = 108,565.82/x
  3. Step 3: Cross multiply
    199,211.78x = 274,904.22 × 108,565.82
  4. Step 4: Simplify right side
    199,211.78x = 29,845,202,065.76
  5. Step 5: Solve for x
    x = 29,845,202,065.76/199,211.78
  6. Step 6: Final answer
    x = 149,816.45

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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.