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Finding the Fourth Proportional to 80,113.92, 120,187.80 and 30,192.96

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Solution

The fourth proportional to 80,113.92, 120,187.80 and 30,192.96 is: 45,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,113.92 : 120,187.80 = 30,192.96 : x
  2. Step 2: Convert to fraction form
    80,113.92/120,187.80 = 30,192.96/x
  3. Step 3: Cross multiply
    80,113.92x = 120,187.80 × 30,192.96
  4. Step 4: Simplify right side
    80,113.92x = 3,628,825,437.89
  5. Step 5: Solve for x
    x = 3,628,825,437.89/80,113.92
  6. Step 6: Final answer
    x = 45,295.82

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1.5x scale

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.