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Finding the Fourth Proportional to 128,323.44, 192,465.72 and 45,198

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Solution

The fourth proportional to 128,323.44, 192,465.72 and 45,198 is: 67,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,323.44 : 192,465.72 = 45,198 : x
  2. Step 2: Convert to fraction form
    128,323.44/192,465.72 = 45,198/x
  3. Step 3: Cross multiply
    128,323.44x = 192,465.72 × 45,198
  4. Step 4: Simplify right side
    128,323.44x = 8,699,065,612.56
  5. Step 5: Solve for x
    x = 8,699,065,612.56/128,323.44
  6. Step 6: Final answer
    x = 67,790.15

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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.