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Finding the Fourth Proportional to 101,677, 140,314.26 and 61,933

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Solution

The fourth proportional to 101,677, 140,314.26 and 61,933 is: 85,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,677 : 140,314.26 = 61,933 : x
  2. Step 2: Convert to fraction form
    101,677/140,314.26 = 61,933/x
  3. Step 3: Cross multiply
    101,677x = 140,314.26 × 61,933
  4. Step 4: Simplify right side
    101,677x = 8,690,083,064.58
  5. Step 5: Solve for x
    x = 8,690,083,064.58/101,677
  6. Step 6: Final answer
    x = 85,467.54

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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.