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Finding the Fourth Proportional to 81,152.50, 121,730.48 and 27,844.24

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Solution

The fourth proportional to 81,152.50, 121,730.48 and 27,844.24 is: 41,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,152.50 : 121,730.48 = 27,844.24 : x
  2. Step 2: Convert to fraction form
    81,152.50/121,730.48 = 27,844.24/x
  3. Step 3: Cross multiply
    81,152.50x = 121,730.48 × 27,844.24
  4. Step 4: Simplify right side
    81,152.50x = 3,389,493,017.70
  5. Step 5: Solve for x
    x = 3,389,493,017.70/81,152.50
  6. Step 6: Final answer
    x = 41,766.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.