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Finding the Fourth Proportional to 61,405, 84,738.90 and 34,909

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Solution

The fourth proportional to 61,405, 84,738.90 and 34,909 is: 48,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405 : 84,738.90 = 34,909 : x
  2. Step 2: Convert to fraction form
    61,405/84,738.90 = 34,909/x
  3. Step 3: Cross multiply
    61,405x = 84,738.90 × 34,909
  4. Step 4: Simplify right side
    61,405x = 2,958,150,260.10
  5. Step 5: Solve for x
    x = 2,958,150,260.10/61,405
  6. Step 6: Final answer
    x = 48,174.42

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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.