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Finding the Fourth Proportional to 80,101.33, 120,152 and 30,192.63

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Solution

The fourth proportional to 80,101.33, 120,152 and 30,192.63 is: 45,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,101.33 : 120,152 = 30,192.63 : x
  2. Step 2: Convert to fraction form
    80,101.33/120,152 = 30,192.63/x
  3. Step 3: Cross multiply
    80,101.33x = 120,152 × 30,192.63
  4. Step 4: Simplify right side
    80,101.33x = 3,627,704,879.76
  5. Step 5: Solve for x
    x = 3,627,704,879.76/80,101.33
  6. Step 6: Final answer
    x = 45,288.95

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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.