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Finding the Fourth Proportional to 189,195.87, 261,092.16 and 104,315.97

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Solution

The fourth proportional to 189,195.87, 261,092.16 and 104,315.97 is: 143,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,195.87 : 261,092.16 = 104,315.97 : x
  2. Step 2: Convert to fraction form
    189,195.87/261,092.16 = 104,315.97/x
  3. Step 3: Cross multiply
    189,195.87x = 261,092.16 × 104,315.97
  4. Step 4: Simplify right side
    189,195.87x = 27,236,081,929.80
  5. Step 5: Solve for x
    x = 27,236,081,929.80/189,195.87
  6. Step 6: Final answer
    x = 143,957.06

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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.