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Finding the Fourth Proportional to 277,211.57, 415,814.85 and 87,672.06

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Solution

The fourth proportional to 277,211.57, 415,814.85 and 87,672.06 is: 131,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,211.57 : 415,814.85 = 87,672.06 : x
  2. Step 2: Convert to fraction form
    277,211.57/415,814.85 = 87,672.06/x
  3. Step 3: Cross multiply
    277,211.57x = 415,814.85 × 87,672.06
  4. Step 4: Simplify right side
    277,211.57x = 36,455,344,478.09
  5. Step 5: Solve for x
    x = 36,455,344,478.09/277,211.57
  6. Step 6: Final answer
    x = 131,507.30

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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.