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Finding the Fourth Proportional to 101,578.44, 140,215.86 and 61,293.90

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Solution

The fourth proportional to 101,578.44, 140,215.86 and 61,293.90 is: 84,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,578.44 : 140,215.86 = 61,293.90 : x
  2. Step 2: Convert to fraction form
    101,578.44/140,215.86 = 61,293.90/x
  3. Step 3: Cross multiply
    101,578.44x = 140,215.86 × 61,293.90
  4. Step 4: Simplify right side
    101,578.44x = 8,594,376,901.25
  5. Step 5: Solve for x
    x = 8,594,376,901.25/101,578.44
  6. Step 6: Final answer
    x = 84,608.28

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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.