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Finding the Fourth Proportional to 170,236.42, 255,371.91 and 65,143.78

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Solution

The fourth proportional to 170,236.42, 255,371.91 and 65,143.78 is: 97,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,236.42 : 255,371.91 = 65,143.78 : x
  2. Step 2: Convert to fraction form
    170,236.42/255,371.91 = 65,143.78/x
  3. Step 3: Cross multiply
    170,236.42x = 255,371.91 × 65,143.78
  4. Step 4: Simplify right side
    170,236.42x = 16,635,891,523.22
  5. Step 5: Solve for x
    x = 16,635,891,523.22/170,236.42
  6. Step 6: Final answer
    x = 97,722.28

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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.