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Finding the Fourth Proportional to 101,577, 140,129.75 and 65,778.54

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Solution

The fourth proportional to 101,577, 140,129.75 and 65,778.54 is: 90,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,577 : 140,129.75 = 65,778.54 : x
  2. Step 2: Convert to fraction form
    101,577/140,129.75 = 65,778.54/x
  3. Step 3: Cross multiply
    101,577x = 140,129.75 × 65,778.54
  4. Step 4: Simplify right side
    101,577x = 9,217,530,036.67
  5. Step 5: Solve for x
    x = 9,217,530,036.67/101,577
  6. Step 6: Final answer
    x = 90,744.26

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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.