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Finding the Fourth Proportional to 168,647.16, 232,757.50 and 100,667

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Solution

The fourth proportional to 168,647.16, 232,757.50 and 100,667 is: 138,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,647.16 : 232,757.50 = 100,667 : x
  2. Step 2: Convert to fraction form
    168,647.16/232,757.50 = 100,667/x
  3. Step 3: Cross multiply
    168,647.16x = 232,757.50 × 100,667
  4. Step 4: Simplify right side
    168,647.16x = 23,430,999,252.50
  5. Step 5: Solve for x
    x = 23,430,999,252.50/168,647.16
  6. Step 6: Final answer
    x = 138,935.04

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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.