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Finding the Fourth Proportional to 171,909.30, 257,973.30 and 100,831.80

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Solution

The fourth proportional to 171,909.30, 257,973.30 and 100,831.80 is: 151,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909.30 : 257,973.30 = 100,831.80 : x
  2. Step 2: Convert to fraction form
    171,909.30/257,973.30 = 100,831.80/x
  3. Step 3: Cross multiply
    171,909.30x = 257,973.30 × 100,831.80
  4. Step 4: Simplify right side
    171,909.30x = 26,011,912,190.94
  5. Step 5: Solve for x
    x = 26,011,912,190.94/171,909.30
  6. Step 6: Final answer
    x = 151,311.84

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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.