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Finding the Fourth Proportional to 200,764.42, 277,105.28 and 136,342.69

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Solution

The fourth proportional to 200,764.42, 277,105.28 and 136,342.69 is: 188,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,764.42 : 277,105.28 = 136,342.69 : x
  2. Step 2: Convert to fraction form
    200,764.42/277,105.28 = 136,342.69/x
  3. Step 3: Cross multiply
    200,764.42x = 277,105.28 × 136,342.69
  4. Step 4: Simplify right side
    200,764.42x = 37,781,279,856.11
  5. Step 5: Solve for x
    x = 37,781,279,856.11/200,764.42
  6. Step 6: Final answer
    x = 188,187.13

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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.