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Finding the Fourth Proportional to 81,790.67, 122,691.84 and 21,818.81

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Solution

The fourth proportional to 81,790.67, 122,691.84 and 21,818.81 is: 32,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,790.67 : 122,691.84 = 21,818.81 : x
  2. Step 2: Convert to fraction form
    81,790.67/122,691.84 = 21,818.81/x
  3. Step 3: Cross multiply
    81,790.67x = 122,691.84 × 21,818.81
  4. Step 4: Simplify right side
    81,790.67x = 2,676,989,945.51
  5. Step 5: Solve for x
    x = 2,676,989,945.51/81,790.67
  6. Step 6: Final answer
    x = 32,729.77

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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.