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Finding the Fourth Proportional to 193,538.78, 290,326.44 and 75,219.20

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Solution

The fourth proportional to 193,538.78, 290,326.44 and 75,219.20 is: 112,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,538.78 : 290,326.44 = 75,219.20 : x
  2. Step 2: Convert to fraction form
    193,538.78/290,326.44 = 75,219.20/x
  3. Step 3: Cross multiply
    193,538.78x = 290,326.44 × 75,219.20
  4. Step 4: Simplify right side
    193,538.78x = 21,838,122,555.65
  5. Step 5: Solve for x
    x = 21,838,122,555.65/193,538.78
  6. Step 6: Final answer
    x = 112,835.90

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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.