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Finding the Fourth Proportional to 230,265.84, 345,299.94 and 80,461.20

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Solution

The fourth proportional to 230,265.84, 345,299.94 and 80,461.20 is: 120,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,265.84 : 345,299.94 = 80,461.20 : x
  2. Step 2: Convert to fraction form
    230,265.84/345,299.94 = 80,461.20/x
  3. Step 3: Cross multiply
    230,265.84x = 345,299.94 × 80,461.20
  4. Step 4: Simplify right side
    230,265.84x = 27,783,247,532.33
  5. Step 5: Solve for x
    x = 27,783,247,532.33/230,265.84
  6. Step 6: Final answer
    x = 120,657.27

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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.