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Finding the Fourth Proportional to 81,877.50, 122,835.69 and 26,473.50

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Solution

The fourth proportional to 81,877.50, 122,835.69 and 26,473.50 is: 39,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.50 : 122,835.69 = 26,473.50 : x
  2. Step 2: Convert to fraction form
    81,877.50/122,835.69 = 26,473.50/x
  3. Step 3: Cross multiply
    81,877.50x = 122,835.69 × 26,473.50
  4. Step 4: Simplify right side
    81,877.50x = 3,251,890,639.22
  5. Step 5: Solve for x
    x = 3,251,890,639.22/81,877.50
  6. Step 6: Final answer
    x = 39,716.54

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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.