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Finding the Fourth Proportional to 192,309.20, 288,463.80 and 139,165.10

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Solution

The fourth proportional to 192,309.20, 288,463.80 and 139,165.10 is: 208,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,309.20 : 288,463.80 = 139,165.10 : x
  2. Step 2: Convert to fraction form
    192,309.20/288,463.80 = 139,165.10/x
  3. Step 3: Cross multiply
    192,309.20x = 288,463.80 × 139,165.10
  4. Step 4: Simplify right side
    192,309.20x = 40,144,093,573.38
  5. Step 5: Solve for x
    x = 40,144,093,573.38/192,309.20
  6. Step 6: Final answer
    x = 208,747.65

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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.