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Finding the Fourth Proportional to 203,480.78, 280,805.07 and 112,831.46

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Solution

The fourth proportional to 203,480.78, 280,805.07 and 112,831.46 is: 155,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,480.78 : 280,805.07 = 112,831.46 : x
  2. Step 2: Convert to fraction form
    203,480.78/280,805.07 = 112,831.46/x
  3. Step 3: Cross multiply
    203,480.78x = 280,805.07 × 112,831.46
  4. Step 4: Simplify right side
    203,480.78x = 31,683,646,023.50
  5. Step 5: Solve for x
    x = 31,683,646,023.50/203,480.78
  6. Step 6: Final answer
    x = 155,708.30

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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.