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Finding the Fourth Proportional to 168,850, 253,362.48 and 85,744

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Solution

The fourth proportional to 168,850, 253,362.48 and 85,744 is: 128,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,850 : 253,362.48 = 85,744 : x
  2. Step 2: Convert to fraction form
    168,850/253,362.48 = 85,744/x
  3. Step 3: Cross multiply
    168,850x = 253,362.48 × 85,744
  4. Step 4: Simplify right side
    168,850x = 21,724,312,485.12
  5. Step 5: Solve for x
    x = 21,724,312,485.12/168,850
  6. Step 6: Final answer
    x = 128,660.42

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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.