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Finding the Fourth Proportional to 192,469.20, 288,509.40 and 87,363.60

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Solution

The fourth proportional to 192,469.20, 288,509.40 and 87,363.60 is: 130,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,469.20 : 288,509.40 = 87,363.60 : x
  2. Step 2: Convert to fraction form
    192,469.20/288,509.40 = 87,363.60/x
  3. Step 3: Cross multiply
    192,469.20x = 288,509.40 × 87,363.60
  4. Step 4: Simplify right side
    192,469.20x = 25,205,219,817.84
  5. Step 5: Solve for x
    x = 25,205,219,817.84/192,469.20
  6. Step 6: Final answer
    x = 130,957.16

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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.