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Finding the Fourth Proportional to 81,100, 121,649.46 and 21,941.74

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Solution

The fourth proportional to 81,100, 121,649.46 and 21,941.74 is: 32,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,100 : 121,649.46 = 21,941.74 : x
  2. Step 2: Convert to fraction form
    81,100/121,649.46 = 21,941.74/x
  3. Step 3: Cross multiply
    81,100x = 121,649.46 × 21,941.74
  4. Step 4: Simplify right side
    81,100x = 2,669,200,822.46
  5. Step 5: Solve for x
    x = 2,669,200,822.46/81,100
  6. Step 6: Final answer
    x = 32,912.46

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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.