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Finding the Fourth Proportional to 70,668.38, 106,006.22 and 18,078.32

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Solution

The fourth proportional to 70,668.38, 106,006.22 and 18,078.32 is: 27,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,668.38 : 106,006.22 = 18,078.32 : x
  2. Step 2: Convert to fraction form
    70,668.38/106,006.22 = 18,078.32/x
  3. Step 3: Cross multiply
    70,668.38x = 106,006.22 × 18,078.32
  4. Step 4: Simplify right side
    70,668.38x = 1,916,413,746.73
  5. Step 5: Solve for x
    x = 1,916,413,746.73/70,668.38
  6. Step 6: Final answer
    x = 27,118.41

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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.