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Finding the Fourth Proportional to 73,383, 101,269.80 and 39,849

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Solution

The fourth proportional to 73,383, 101,269.80 and 39,849 is: 54,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,383 : 101,269.80 = 39,849 : x
  2. Step 2: Convert to fraction form
    73,383/101,269.80 = 39,849/x
  3. Step 3: Cross multiply
    73,383x = 101,269.80 × 39,849
  4. Step 4: Simplify right side
    73,383x = 4,035,500,260.20
  5. Step 5: Solve for x
    x = 4,035,500,260.20/73,383
  6. Step 6: Final answer
    x = 54,992.30

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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.