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Finding the Fourth Proportional to 101,693, 140,336.38 and 61,949

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Solution

The fourth proportional to 101,693, 140,336.38 and 61,949 is: 85,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,693 : 140,336.38 = 61,949 : x
  2. Step 2: Convert to fraction form
    101,693/140,336.38 = 61,949/x
  3. Step 3: Cross multiply
    101,693x = 140,336.38 × 61,949
  4. Step 4: Simplify right side
    101,693x = 8,693,698,404.62
  5. Step 5: Solve for x
    x = 8,693,698,404.62/101,693
  6. Step 6: Final answer
    x = 85,489.64

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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.