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Finding the Fourth Proportional to 51,874.87, 77,824.83 and 18,135.84

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Solution

The fourth proportional to 51,874.87, 77,824.83 and 18,135.84 is: 27,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.87 : 77,824.83 = 18,135.84 : x
  2. Step 2: Convert to fraction form
    51,874.87/77,824.83 = 18,135.84/x
  3. Step 3: Cross multiply
    51,874.87x = 77,824.83 × 18,135.84
  4. Step 4: Simplify right side
    51,874.87x = 1,411,418,664.91
  5. Step 5: Solve for x
    x = 1,411,418,664.91/51,874.87
  6. Step 6: Final answer
    x = 27,208.14

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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.