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Finding the Fourth Proportional to 71,103.78, 106,661.79 and 18,513.36

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Solution

The fourth proportional to 71,103.78, 106,661.79 and 18,513.36 is: 27,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,103.78 : 106,661.79 = 18,513.36 : x
  2. Step 2: Convert to fraction form
    71,103.78/106,661.79 = 18,513.36/x
  3. Step 3: Cross multiply
    71,103.78x = 106,661.79 × 18,513.36
  4. Step 4: Simplify right side
    71,103.78x = 1,974,668,116.51
  5. Step 5: Solve for x
    x = 1,974,668,116.51/71,103.78
  6. Step 6: Final answer
    x = 27,771.63

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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.