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Finding the Fourth Proportional to 51,297.92, 76,981.24 and 18,018.10

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Solution

The fourth proportional to 51,297.92, 76,981.24 and 18,018.10 is: 27,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297.92 : 76,981.24 = 18,018.10 : x
  2. Step 2: Convert to fraction form
    51,297.92/76,981.24 = 18,018.10/x
  3. Step 3: Cross multiply
    51,297.92x = 76,981.24 × 18,018.10
  4. Step 4: Simplify right side
    51,297.92x = 1,387,055,680.44
  5. Step 5: Solve for x
    x = 1,387,055,680.44/51,297.92
  6. Step 6: Final answer
    x = 27,039.22

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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.