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Finding the Fourth Proportional to 192,345.18, 288,550.96 and 85,767

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Solution

The fourth proportional to 192,345.18, 288,550.96 and 85,767 is: 128,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,345.18 : 288,550.96 = 85,767 : x
  2. Step 2: Convert to fraction form
    192,345.18/288,550.96 = 85,767/x
  3. Step 3: Cross multiply
    192,345.18x = 288,550.96 × 85,767
  4. Step 4: Simplify right side
    192,345.18x = 24,748,150,186.32
  5. Step 5: Solve for x
    x = 24,748,150,186.32/192,345.18
  6. Step 6: Final answer
    x = 128,665.30

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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.