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Finding the Fourth Proportional to 101,576.50, 140,129.05 and 65,778.05

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Solution

The fourth proportional to 101,576.50, 140,129.05 and 65,778.05 is: 90,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,576.50 : 140,129.05 = 65,778.05 : x
  2. Step 2: Convert to fraction form
    101,576.50/140,129.05 = 65,778.05/x
  3. Step 3: Cross multiply
    101,576.50x = 140,129.05 × 65,778.05
  4. Step 4: Simplify right side
    101,576.50x = 9,217,415,657.35
  5. Step 5: Solve for x
    x = 9,217,415,657.35/101,576.50
  6. Step 6: Final answer
    x = 90,743.58

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1.5x scale

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.