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Finding the Fourth Proportional to 139,302.92, 192,238.82 and 75,640.74

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Solution

The fourth proportional to 139,302.92, 192,238.82 and 75,640.74 is: 104,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,302.92 : 192,238.82 = 75,640.74 : x
  2. Step 2: Convert to fraction form
    139,302.92/192,238.82 = 75,640.74/x
  3. Step 3: Cross multiply
    139,302.92x = 192,238.82 × 75,640.74
  4. Step 4: Simplify right side
    139,302.92x = 14,541,085,786.08
  5. Step 5: Solve for x
    x = 14,541,085,786.08/139,302.92
  6. Step 6: Final answer
    x = 104,384.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.