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Finding the Fourth Proportional to 203,499.44, 280,831.74 and 112,856.66

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Solution

The fourth proportional to 203,499.44, 280,831.74 and 112,856.66 is: 155,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,499.44 : 280,831.74 = 112,856.66 : x
  2. Step 2: Convert to fraction form
    203,499.44/280,831.74 = 112,856.66/x
  3. Step 3: Cross multiply
    203,499.44x = 280,831.74 × 112,856.66
  4. Step 4: Simplify right side
    203,499.44x = 31,693,732,198.39
  5. Step 5: Solve for x
    x = 31,693,732,198.39/203,499.44
  6. Step 6: Final answer
    x = 155,743.58

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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.