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Finding the Fourth Proportional to 68,663, 102,995.12 and 27,110

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Solution

The fourth proportional to 68,663, 102,995.12 and 27,110 is: 40,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,663 : 102,995.12 = 27,110 : x
  2. Step 2: Convert to fraction form
    68,663/102,995.12 = 27,110/x
  3. Step 3: Cross multiply
    68,663x = 102,995.12 × 27,110
  4. Step 4: Simplify right side
    68,663x = 2,792,197,703.20
  5. Step 5: Solve for x
    x = 2,792,197,703.20/68,663
  6. Step 6: Final answer
    x = 40,665.24

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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.