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Finding the Fourth Proportional to 148,920.82, 205,512.78 and 80,939.14

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Solution

The fourth proportional to 148,920.82, 205,512.78 and 80,939.14 is: 111,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,920.82 : 205,512.78 = 80,939.14 : x
  2. Step 2: Convert to fraction form
    148,920.82/205,512.78 = 80,939.14/x
  3. Step 3: Cross multiply
    148,920.82x = 205,512.78 × 80,939.14
  4. Step 4: Simplify right side
    148,920.82x = 16,634,027,672.21
  5. Step 5: Solve for x
    x = 16,634,027,672.21/148,920.82
  6. Step 6: Final answer
    x = 111,697.13

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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.