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Finding the Fourth Proportional to 51,192.44, 76,756.98 and 19,991

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Solution

The fourth proportional to 51,192.44, 76,756.98 and 19,991 is: 29,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192.44 : 76,756.98 = 19,991 : x
  2. Step 2: Convert to fraction form
    51,192.44/76,756.98 = 19,991/x
  3. Step 3: Cross multiply
    51,192.44x = 76,756.98 × 19,991
  4. Step 4: Simplify right side
    51,192.44x = 1,534,448,787.18
  5. Step 5: Solve for x
    x = 1,534,448,787.18/51,192.44
  6. Step 6: Final answer
    x = 29,974.13

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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.