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Finding the Fourth Proportional to 192,138.35, 288,206.91 and 51,896.97

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Solution

The fourth proportional to 192,138.35, 288,206.91 and 51,896.97 is: 77,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,138.35 : 288,206.91 = 51,896.97 : x
  2. Step 2: Convert to fraction form
    192,138.35/288,206.91 = 51,896.97/x
  3. Step 3: Cross multiply
    192,138.35x = 288,206.91 × 51,896.97
  4. Step 4: Simplify right side
    192,138.35x = 14,957,066,637.45
  5. Step 5: Solve for x
    x = 14,957,066,637.45/192,138.35
  6. Step 6: Final answer
    x = 77,845.30

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1.5x scale

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.