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Finding the Fourth Proportional to 192,379.46, 288,569.18 and 52,138.08

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Solution

The fourth proportional to 192,379.46, 288,569.18 and 52,138.08 is: 78,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,379.46 : 288,569.18 = 52,138.08 : x
  2. Step 2: Convert to fraction form
    192,379.46/288,569.18 = 52,138.08/x
  3. Step 3: Cross multiply
    192,379.46x = 288,569.18 × 52,138.08
  4. Step 4: Simplify right side
    192,379.46x = 15,045,443,122.72
  5. Step 5: Solve for x
    x = 15,045,443,122.72/192,379.46
  6. Step 6: Final answer
    x = 78,207.12

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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.