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Finding the Fourth Proportional to 78,379.87, 117,532.76 and 30,370.97

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Solution

The fourth proportional to 78,379.87, 117,532.76 and 30,370.97 is: 45,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379.87 : 117,532.76 = 30,370.97 : x
  2. Step 2: Convert to fraction form
    78,379.87/117,532.76 = 30,370.97/x
  3. Step 3: Cross multiply
    78,379.87x = 117,532.76 × 30,370.97
  4. Step 4: Simplify right side
    78,379.87x = 3,569,583,416.24
  5. Step 5: Solve for x
    x = 3,569,583,416.24/78,379.87
  6. Step 6: Final answer
    x = 45,542.10

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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.