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Finding the Fourth Proportional to 81,649.01, 122,441.93 and 31,722.54

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Solution

The fourth proportional to 81,649.01, 122,441.93 and 31,722.54 is: 47,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649.01 : 122,441.93 = 31,722.54 : x
  2. Step 2: Convert to fraction form
    81,649.01/122,441.93 = 31,722.54/x
  3. Step 3: Cross multiply
    81,649.01x = 122,441.93 × 31,722.54
  4. Step 4: Simplify right side
    81,649.01x = 3,884,168,523.29
  5. Step 5: Solve for x
    x = 3,884,168,523.29/81,649.01
  6. Step 6: Final answer
    x = 47,571.53

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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.