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Finding the Fourth Proportional to 189,671.65, 261,743.82 and 103,628.78

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Solution

The fourth proportional to 189,671.65, 261,743.82 and 103,628.78 is: 143,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,671.65 : 261,743.82 = 103,628.78 : x
  2. Step 2: Convert to fraction form
    189,671.65/261,743.82 = 103,628.78/x
  3. Step 3: Cross multiply
    189,671.65x = 261,743.82 × 103,628.78
  4. Step 4: Simplify right side
    189,671.65x = 27,124,194,078.57
  5. Step 5: Solve for x
    x = 27,124,194,078.57/189,671.65
  6. Step 6: Final answer
    x = 143,006.05

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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.