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Finding the Fourth Proportional to 255,231.60, 382,818.20 and 68,257.68

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Solution

The fourth proportional to 255,231.60, 382,818.20 and 68,257.68 is: 102,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,231.60 : 382,818.20 = 68,257.68 : x
  2. Step 2: Convert to fraction form
    255,231.60/382,818.20 = 68,257.68/x
  3. Step 3: Cross multiply
    255,231.60x = 382,818.20 × 68,257.68
  4. Step 4: Simplify right side
    255,231.60x = 26,130,282,193.78
  5. Step 5: Solve for x
    x = 26,130,282,193.78/255,231.60
  6. Step 6: Final answer
    x = 102,378.71

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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.