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Finding the Fourth Proportional to 203,471.50, 280,794.06 and 112,831.30

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Solution

The fourth proportional to 203,471.50, 280,794.06 and 112,831.30 is: 155,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,471.50 : 280,794.06 = 112,831.30 : x
  2. Step 2: Convert to fraction form
    203,471.50/280,794.06 = 112,831.30/x
  3. Step 3: Cross multiply
    203,471.50x = 280,794.06 × 112,831.30
  4. Step 4: Simplify right side
    203,471.50x = 31,682,358,822.08
  5. Step 5: Solve for x
    x = 31,682,358,822.08/203,471.50
  6. Step 6: Final answer
    x = 155,709.07

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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.