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Finding the Fourth Proportional to 80,228.40, 120,309.48 and 30,300

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Solution

The fourth proportional to 80,228.40, 120,309.48 and 30,300 is: 45,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,228.40 : 120,309.48 = 30,300 : x
  2. Step 2: Convert to fraction form
    80,228.40/120,309.48 = 30,300/x
  3. Step 3: Cross multiply
    80,228.40x = 120,309.48 × 30,300
  4. Step 4: Simplify right side
    80,228.40x = 3,645,377,244
  5. Step 5: Solve for x
    x = 3,645,377,244/80,228.40
  6. Step 6: Final answer
    x = 45,437.49

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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.