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Finding the Fourth Proportional to 257,081.26, 385,119.69 and 177,105.10

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Solution

The fourth proportional to 257,081.26, 385,119.69 and 177,105.10 is: 265,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,081.26 : 385,119.69 = 177,105.10 : x
  2. Step 2: Convert to fraction form
    257,081.26/385,119.69 = 177,105.10/x
  3. Step 3: Cross multiply
    257,081.26x = 385,119.69 × 177,105.10
  4. Step 4: Simplify right side
    257,081.26x = 68,206,661,209.42
  5. Step 5: Solve for x
    x = 68,206,661,209.42/257,081.26
  6. Step 6: Final answer
    x = 265,311.68

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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.