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Finding the Fourth Proportional to 193,641.98, 290,480.85 and 75,322.31

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Solution

The fourth proportional to 193,641.98, 290,480.85 and 75,322.31 is: 112,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,641.98 : 290,480.85 = 75,322.31 : x
  2. Step 2: Convert to fraction form
    193,641.98/290,480.85 = 75,322.31/x
  3. Step 3: Cross multiply
    193,641.98x = 290,480.85 × 75,322.31
  4. Step 4: Simplify right side
    193,641.98x = 21,879,687,180.36
  5. Step 5: Solve for x
    x = 21,879,687,180.36/193,641.98
  6. Step 6: Final answer
    x = 112,990.42

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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.