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Finding the Fourth Proportional to 192,023.20, 287,905.20 and 102,080.80

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Solution

The fourth proportional to 192,023.20, 287,905.20 and 102,080.80 is: 153,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,023.20 : 287,905.20 = 102,080.80 : x
  2. Step 2: Convert to fraction form
    192,023.20/287,905.20 = 102,080.80/x
  3. Step 3: Cross multiply
    192,023.20x = 287,905.20 × 102,080.80
  4. Step 4: Simplify right side
    192,023.20x = 29,389,593,140.16
  5. Step 5: Solve for x
    x = 29,389,593,140.16/192,023.20
  6. Step 6: Final answer
    x = 153,052.30

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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.