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Finding the Fourth Proportional to 101,649.14, 140,229.81 and 61,350.02

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Solution

The fourth proportional to 101,649.14, 140,229.81 and 61,350.02 is: 84,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,649.14 : 140,229.81 = 61,350.02 : x
  2. Step 2: Convert to fraction form
    101,649.14/140,229.81 = 61,350.02/x
  3. Step 3: Cross multiply
    101,649.14x = 140,229.81 × 61,350.02
  4. Step 4: Simplify right side
    101,649.14x = 8,603,101,648.10
  5. Step 5: Solve for x
    x = 8,603,101,648.10/101,649.14
  6. Step 6: Final answer
    x = 84,635.26

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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.