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Finding the Fourth Proportional to 171,908.80, 257,972.55 and 100,831.30

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Solution

The fourth proportional to 171,908.80, 257,972.55 and 100,831.30 is: 151,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,908.80 : 257,972.55 = 100,831.30 : x
  2. Step 2: Convert to fraction form
    171,908.80/257,972.55 = 100,831.30/x
  3. Step 3: Cross multiply
    171,908.80x = 257,972.55 × 100,831.30
  4. Step 4: Simplify right side
    171,908.80x = 26,011,707,580.82
  5. Step 5: Solve for x
    x = 26,011,707,580.82/171,908.80
  6. Step 6: Final answer
    x = 151,311.09

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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.