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Finding the Fourth Proportional to 189,775.69, 261,889.95 and 108,103.93

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Solution

The fourth proportional to 189,775.69, 261,889.95 and 108,103.93 is: 149,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,775.69 : 261,889.95 = 108,103.93 : x
  2. Step 2: Convert to fraction form
    189,775.69/261,889.95 = 108,103.93/x
  3. Step 3: Cross multiply
    189,775.69x = 261,889.95 × 108,103.93
  4. Step 4: Simplify right side
    189,775.69x = 28,311,332,822.50
  5. Step 5: Solve for x
    x = 28,311,332,822.50/189,775.69
  6. Step 6: Final answer
    x = 149,183.14

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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.