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Finding the Fourth Proportional to 193,197.30, 289,905.57 and 74,876.82

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Solution

The fourth proportional to 193,197.30, 289,905.57 and 74,876.82 is: 112,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,197.30 : 289,905.57 = 74,876.82 : x
  2. Step 2: Convert to fraction form
    193,197.30/289,905.57 = 74,876.82/x
  3. Step 3: Cross multiply
    193,197.30x = 289,905.57 × 74,876.82
  4. Step 4: Simplify right side
    193,197.30x = 21,707,207,181.89
  5. Step 5: Solve for x
    x = 21,707,207,181.89/193,197.30
  6. Step 6: Final answer
    x = 112,357.72

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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.