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Finding the Fourth Proportional to 51,178, 76,767 and 21,994

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Solution

The fourth proportional to 51,178, 76,767 and 21,994 is: 32,991

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,178 : 76,767 = 21,994 : x
  2. Step 2: Convert to fraction form
    51,178/76,767 = 21,994/x
  3. Step 3: Cross multiply
    51,178x = 76,767 × 21,994
  4. Step 4: Simplify right side
    51,178x = 1,688,413,398
  5. Step 5: Solve for x
    x = 1,688,413,398/51,178
  6. Step 6: Final answer
    x = 32,991

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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.