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Finding the Fourth Proportional to 189,509.50, 261,519.22 and 108,934.96

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Solution

The fourth proportional to 189,509.50, 261,519.22 and 108,934.96 is: 150,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,509.50 : 261,519.22 = 108,934.96 : x
  2. Step 2: Convert to fraction form
    189,509.50/261,519.22 = 108,934.96/x
  3. Step 3: Cross multiply
    189,509.50x = 261,519.22 × 108,934.96
  4. Step 4: Simplify right side
    189,509.50x = 28,488,585,769.93
  5. Step 5: Solve for x
    x = 28,488,585,769.93/189,509.50
  6. Step 6: Final answer
    x = 150,328.01

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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.