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Finding the Fourth Proportional to 101,578, 140,131.12 and 65,779.54

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Solution

The fourth proportional to 101,578, 140,131.12 and 65,779.54 is: 90,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,578 : 140,131.12 = 65,779.54 : x
  2. Step 2: Convert to fraction form
    101,578/140,131.12 = 65,779.54/x
  3. Step 3: Cross multiply
    101,578x = 140,131.12 × 65,779.54
  4. Step 4: Simplify right side
    101,578x = 9,217,760,613.28
  5. Step 5: Solve for x
    x = 9,217,760,613.28/101,578
  6. Step 6: Final answer
    x = 90,745.64

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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.