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Finding the Fourth Proportional to 189,661.97, 261,751.61 and 103,634.02

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Solution

The fourth proportional to 189,661.97, 261,751.61 and 103,634.02 is: 143,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,661.97 : 261,751.61 = 103,634.02 : x
  2. Step 2: Convert to fraction form
    189,661.97/261,751.61 = 103,634.02/x
  3. Step 3: Cross multiply
    189,661.97x = 261,751.61 × 103,634.02
  4. Step 4: Simplify right side
    189,661.97x = 27,126,371,949.69
  5. Step 5: Solve for x
    x = 27,126,371,949.69/189,661.97
  6. Step 6: Final answer
    x = 143,024.84

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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.