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Finding the Fourth Proportional to 203,218.08, 280,401.12 and 127,722.96

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Solution

The fourth proportional to 203,218.08, 280,401.12 and 127,722.96 is: 176,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218.08 : 280,401.12 = 127,722.96 : x
  2. Step 2: Convert to fraction form
    203,218.08/280,401.12 = 127,722.96/x
  3. Step 3: Cross multiply
    203,218.08x = 280,401.12 × 127,722.96
  4. Step 4: Simplify right side
    203,218.08x = 35,813,661,033.72
  5. Step 5: Solve for x
    x = 35,813,661,033.72/203,218.08
  6. Step 6: Final answer
    x = 176,232.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.