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Finding the Fourth Proportional to 78,578.70, 117,879.05 and 25,252.76

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Solution

The fourth proportional to 78,578.70, 117,879.05 and 25,252.76 is: 37,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.70 : 117,879.05 = 25,252.76 : x
  2. Step 2: Convert to fraction form
    78,578.70/117,879.05 = 25,252.76/x
  3. Step 3: Cross multiply
    78,578.70x = 117,879.05 × 25,252.76
  4. Step 4: Simplify right side
    78,578.70x = 2,976,770,643.02
  5. Step 5: Solve for x
    x = 2,976,770,643.02/78,578.70
  6. Step 6: Final answer
    x = 37,882.67

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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.