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Finding the Fourth Proportional to 255,782.72, 383,622.24 and 87,211.64

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Solution

The fourth proportional to 255,782.72, 383,622.24 and 87,211.64 is: 130,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,782.72 : 383,622.24 = 87,211.64 : x
  2. Step 2: Convert to fraction form
    255,782.72/383,622.24 = 87,211.64/x
  3. Step 3: Cross multiply
    255,782.72x = 383,622.24 × 87,211.64
  4. Step 4: Simplify right side
    255,782.72x = 33,456,324,690.87
  5. Step 5: Solve for x
    x = 33,456,324,690.87/255,782.72
  6. Step 6: Final answer
    x = 130,799.78

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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.