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Finding the Fourth Proportional to 255,311.34, 382,856.16 and 86,786.34

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Solution

The fourth proportional to 255,311.34, 382,856.16 and 86,786.34 is: 130,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,311.34 : 382,856.16 = 86,786.34 : x
  2. Step 2: Convert to fraction form
    255,311.34/382,856.16 = 86,786.34/x
  3. Step 3: Cross multiply
    255,311.34x = 382,856.16 × 86,786.34
  4. Step 4: Simplify right side
    255,311.34x = 33,226,684,872.85
  5. Step 5: Solve for x
    x = 33,226,684,872.85/255,311.34
  6. Step 6: Final answer
    x = 130,141.83

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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.