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Finding the Fourth Proportional to 115,237, 172,855.50 and 27,685

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Solution

The fourth proportional to 115,237, 172,855.50 and 27,685 is: 41,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,237 : 172,855.50 = 27,685 : x
  2. Step 2: Convert to fraction form
    115,237/172,855.50 = 27,685/x
  3. Step 3: Cross multiply
    115,237x = 172,855.50 × 27,685
  4. Step 4: Simplify right side
    115,237x = 4,785,504,517.50
  5. Step 5: Solve for x
    x = 4,785,504,517.50/115,237
  6. Step 6: Final answer
    x = 41,527.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.