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Finding the Fourth Proportional to 255,958.19, 383,773.26 and 106,301.78

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Solution

The fourth proportional to 255,958.19, 383,773.26 and 106,301.78 is: 159,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,958.19 : 383,773.26 = 106,301.78 : x
  2. Step 2: Convert to fraction form
    255,958.19/383,773.26 = 106,301.78/x
  3. Step 3: Cross multiply
    255,958.19x = 383,773.26 × 106,301.78
  4. Step 4: Simplify right side
    255,958.19x = 40,795,782,134.10
  5. Step 5: Solve for x
    x = 40,795,782,134.10/255,958.19
  6. Step 6: Final answer
    x = 159,384.55

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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.