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Finding the Fourth Proportional to 165,783, 248,805.54 and 72,354.36

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Solution

The fourth proportional to 165,783, 248,805.54 and 72,354.36 is: 108,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,783 : 248,805.54 = 72,354.36 : x
  2. Step 2: Convert to fraction form
    165,783/248,805.54 = 72,354.36/x
  3. Step 3: Cross multiply
    165,783x = 248,805.54 × 72,354.36
  4. Step 4: Simplify right side
    165,783x = 18,002,165,611.15
  5. Step 5: Solve for x
    x = 18,002,165,611.15/165,783
  6. Step 6: Final answer
    x = 108,588.73

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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.