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Finding the Fourth Proportional to 136,643.92, 204,942.58 and 36,781.85

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Solution

The fourth proportional to 136,643.92, 204,942.58 and 36,781.85 is: 55,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,643.92 : 204,942.58 = 36,781.85 : x
  2. Step 2: Convert to fraction form
    136,643.92/204,942.58 = 36,781.85/x
  3. Step 3: Cross multiply
    136,643.92x = 204,942.58 × 36,781.85
  4. Step 4: Simplify right side
    136,643.92x = 7,538,167,656.57
  5. Step 5: Solve for x
    x = 7,538,167,656.57/136,643.92
  6. Step 6: Final answer
    x = 55,166.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.