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Finding the Fourth Proportional to 109,649.20, 164,182.20 and 69,991.60

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Solution

The fourth proportional to 109,649.20, 164,182.20 and 69,991.60 is: 104,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,649.20 : 164,182.20 = 69,991.60 : x
  2. Step 2: Convert to fraction form
    109,649.20/164,182.20 = 69,991.60/x
  3. Step 3: Cross multiply
    109,649.20x = 164,182.20 × 69,991.60
  4. Step 4: Simplify right side
    109,649.20x = 11,491,374,869.52
  5. Step 5: Solve for x
    x = 11,491,374,869.52/109,649.20
  6. Step 6: Final answer
    x = 104,801.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.