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Finding the Fourth Proportional to 259,885.80, 389,532.78 and 110,032.56

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Solution

The fourth proportional to 259,885.80, 389,532.78 and 110,032.56 is: 164,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,885.80 : 389,532.78 = 110,032.56 : x
  2. Step 2: Convert to fraction form
    259,885.80/389,532.78 = 110,032.56/x
  3. Step 3: Cross multiply
    259,885.80x = 389,532.78 × 110,032.56
  4. Step 4: Simplify right side
    259,885.80x = 42,861,288,987.32
  5. Step 5: Solve for x
    x = 42,861,288,987.32/259,885.80
  6. Step 6: Final answer
    x = 164,923.55

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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.