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Finding the Fourth Proportional to 277,198.66, 415,849.27 and 87,706.72

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Solution

The fourth proportional to 277,198.66, 415,849.27 and 87,706.72 is: 131,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,198.66 : 415,849.27 = 87,706.72 : x
  2. Step 2: Convert to fraction form
    277,198.66/415,849.27 = 87,706.72/x
  3. Step 3: Cross multiply
    277,198.66x = 415,849.27 × 87,706.72
  4. Step 4: Simplify right side
    277,198.66x = 36,472,775,951.09
  5. Step 5: Solve for x
    x = 36,472,775,951.09/277,198.66
  6. Step 6: Final answer
    x = 131,576.31

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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.