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Finding the Fourth Proportional to 70,668.82, 106,006.86 and 18,078.76

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Solution

The fourth proportional to 70,668.82, 106,006.86 and 18,078.76 is: 27,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,668.82 : 106,006.86 = 18,078.76 : x
  2. Step 2: Convert to fraction form
    70,668.82/106,006.86 = 18,078.76/x
  3. Step 3: Cross multiply
    70,668.82x = 106,006.86 × 18,078.76
  4. Step 4: Simplify right side
    70,668.82x = 1,916,472,580.29
  5. Step 5: Solve for x
    x = 1,916,472,580.29/70,668.82
  6. Step 6: Final answer
    x = 27,119.07

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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.