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Finding the Fourth Proportional to 277,297.57, 415,997.79 and 87,805.90

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Solution

The fourth proportional to 277,297.57, 415,997.79 and 87,805.90 is: 131,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,297.57 : 415,997.79 = 87,805.90 : x
  2. Step 2: Convert to fraction form
    277,297.57/415,997.79 = 87,805.90/x
  3. Step 3: Cross multiply
    277,297.57x = 415,997.79 × 87,805.90
  4. Step 4: Simplify right side
    277,297.57x = 36,527,060,348.96
  5. Step 5: Solve for x
    x = 36,527,060,348.96/277,297.57
  6. Step 6: Final answer
    x = 131,725.14

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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.