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Finding the Fourth Proportional to 192,025.08, 264,920.70 and 120,280.20

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Solution

The fourth proportional to 192,025.08, 264,920.70 and 120,280.20 is: 165,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,025.08 : 264,920.70 = 120,280.20 : x
  2. Step 2: Convert to fraction form
    192,025.08/264,920.70 = 120,280.20/x
  3. Step 3: Cross multiply
    192,025.08x = 264,920.70 × 120,280.20
  4. Step 4: Simplify right side
    192,025.08x = 31,864,714,780.14
  5. Step 5: Solve for x
    x = 31,864,714,780.14/192,025.08
  6. Step 6: Final answer
    x = 165,940.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.