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Finding the Fourth Proportional to 198,573.76, 274,034.57 and 107,929.69

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Solution

The fourth proportional to 198,573.76, 274,034.57 and 107,929.69 is: 148,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,573.76 : 274,034.57 = 107,929.69 : x
  2. Step 2: Convert to fraction form
    198,573.76/274,034.57 = 107,929.69/x
  3. Step 3: Cross multiply
    198,573.76x = 274,034.57 × 107,929.69
  4. Step 4: Simplify right side
    198,573.76x = 29,576,466,189.38
  5. Step 5: Solve for x
    x = 29,576,466,189.38/198,573.76
  6. Step 6: Final answer
    x = 148,944.48

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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.