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Finding the Fourth Proportional to 171,831.30, 257,856.30 and 100,753.80

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Solution

The fourth proportional to 171,831.30, 257,856.30 and 100,753.80 is: 151,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,831.30 : 257,856.30 = 100,753.80 : x
  2. Step 2: Convert to fraction form
    171,831.30/257,856.30 = 100,753.80/x
  3. Step 3: Cross multiply
    171,831.30x = 257,856.30 × 100,753.80
  4. Step 4: Simplify right side
    171,831.30x = 25,980,002,078.94
  5. Step 5: Solve for x
    x = 25,980,002,078.94/171,831.30
  6. Step 6: Final answer
    x = 151,194.82

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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.