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Finding the Fourth Proportional to 40,846.78, 61,270.17 and 13,144.78

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Solution

The fourth proportional to 40,846.78, 61,270.17 and 13,144.78 is: 19,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,846.78 : 61,270.17 = 13,144.78 : x
  2. Step 2: Convert to fraction form
    40,846.78/61,270.17 = 13,144.78/x
  3. Step 3: Cross multiply
    40,846.78x = 61,270.17 × 13,144.78
  4. Step 4: Simplify right side
    40,846.78x = 805,383,006.45
  5. Step 5: Solve for x
    x = 805,383,006.45/40,846.78
  6. Step 6: Final answer
    x = 19,717.17

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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.