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Finding the Fourth Proportional to 119,649.92, 165,114.75 and 65,202.56

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Solution

The fourth proportional to 119,649.92, 165,114.75 and 65,202.56 is: 89,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,649.92 : 165,114.75 = 65,202.56 : x
  2. Step 2: Convert to fraction form
    119,649.92/165,114.75 = 65,202.56/x
  3. Step 3: Cross multiply
    119,649.92x = 165,114.75 × 65,202.56
  4. Step 4: Simplify right side
    119,649.92x = 10,765,904,431.88
  5. Step 5: Solve for x
    x = 10,765,904,431.88/119,649.92
  6. Step 6: Final answer
    x = 89,978.37

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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.