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Finding the Fourth Proportional to 168,237, 252,355.50 and 43,578

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Solution

The fourth proportional to 168,237, 252,355.50 and 43,578 is: 65,367

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,237 : 252,355.50 = 43,578 : x
  2. Step 2: Convert to fraction form
    168,237/252,355.50 = 43,578/x
  3. Step 3: Cross multiply
    168,237x = 252,355.50 × 43,578
  4. Step 4: Simplify right side
    168,237x = 10,997,147,979
  5. Step 5: Solve for x
    x = 10,997,147,979/168,237
  6. Step 6: Final answer
    x = 65,367

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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.