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Finding the Fourth Proportional to 228,180.70, 342,198.26 and 78,384.87

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Solution

The fourth proportional to 228,180.70, 342,198.26 and 78,384.87 is: 117,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,180.70 : 342,198.26 = 78,384.87 : x
  2. Step 2: Convert to fraction form
    228,180.70/342,198.26 = 78,384.87/x
  3. Step 3: Cross multiply
    228,180.70x = 342,198.26 × 78,384.87
  4. Step 4: Simplify right side
    228,180.70x = 26,823,164,217.37
  5. Step 5: Solve for x
    x = 26,823,164,217.37/228,180.70
  6. Step 6: Final answer
    x = 117,552.29

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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.