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Finding the Fourth Proportional to 115,236, 172,854 and 27,684

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Solution

The fourth proportional to 115,236, 172,854 and 27,684 is: 41,526

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,236 : 172,854 = 27,684 : x
  2. Step 2: Convert to fraction form
    115,236/172,854 = 27,684/x
  3. Step 3: Cross multiply
    115,236x = 172,854 × 27,684
  4. Step 4: Simplify right side
    115,236x = 4,785,290,136
  5. Step 5: Solve for x
    x = 4,785,290,136/115,236
  6. Step 6: Final answer
    x = 41,526

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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.