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Finding the Fourth Proportional to 139,409.54, 192,382.40 and 75,747.80

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Solution

The fourth proportional to 139,409.54, 192,382.40 and 75,747.80 is: 104,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,409.54 : 192,382.40 = 75,747.80 : x
  2. Step 2: Convert to fraction form
    139,409.54/192,382.40 = 75,747.80/x
  3. Step 3: Cross multiply
    139,409.54x = 192,382.40 × 75,747.80
  4. Step 4: Simplify right side
    139,409.54x = 14,572,542,218.07
  5. Step 5: Solve for x
    x = 14,572,542,218.07/139,409.54
  6. Step 6: Final answer
    x = 104,530.45

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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.