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Finding the Fourth Proportional to 78,162, 117,246.24 and 22,758

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Solution

The fourth proportional to 78,162, 117,246.24 and 22,758 is: 34,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162 : 117,246.24 = 22,758 : x
  2. Step 2: Convert to fraction form
    78,162/117,246.24 = 22,758/x
  3. Step 3: Cross multiply
    78,162x = 117,246.24 × 22,758
  4. Step 4: Simplify right side
    78,162x = 2,668,289,929.92
  5. Step 5: Solve for x
    x = 2,668,289,929.92/78,162
  6. Step 6: Final answer
    x = 34,137.94

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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.