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Finding the Fourth Proportional to 192,121.20, 287,814.60 and 103,345.20

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Solution

The fourth proportional to 192,121.20, 287,814.60 and 103,345.20 is: 154,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,121.20 : 287,814.60 = 103,345.20 : x
  2. Step 2: Convert to fraction form
    192,121.20/287,814.60 = 103,345.20/x
  3. Step 3: Cross multiply
    192,121.20x = 287,814.60 × 103,345.20
  4. Step 4: Simplify right side
    192,121.20x = 29,744,257,399.92
  5. Step 5: Solve for x
    x = 29,744,257,399.92/192,121.20
  6. Step 6: Final answer
    x = 154,820.28

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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.