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Finding the Fourth Proportional to 81,205.74, 121,833.21 and 36,820.57

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Solution

The fourth proportional to 81,205.74, 121,833.21 and 36,820.57 is: 55,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,205.74 : 121,833.21 = 36,820.57 : x
  2. Step 2: Convert to fraction form
    81,205.74/121,833.21 = 36,820.57/x
  3. Step 3: Cross multiply
    81,205.74x = 121,833.21 × 36,820.57
  4. Step 4: Simplify right side
    81,205.74x = 4,485,968,389.42
  5. Step 5: Solve for x
    x = 4,485,968,389.42/81,205.74
  6. Step 6: Final answer
    x = 55,242.01

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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.