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Finding the Fourth Proportional to 81,877.70, 122,816.55 and 29,288.90

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Solution

The fourth proportional to 81,877.70, 122,816.55 and 29,288.90 is: 43,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.70 : 122,816.55 = 29,288.90 : x
  2. Step 2: Convert to fraction form
    81,877.70/122,816.55 = 29,288.90/x
  3. Step 3: Cross multiply
    81,877.70x = 122,816.55 × 29,288.90
  4. Step 4: Simplify right side
    81,877.70x = 3,597,161,651.30
  5. Step 5: Solve for x
    x = 3,597,161,651.30/81,877.70
  6. Step 6: Final answer
    x = 43,933.35

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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.