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Finding the Fourth Proportional to 81,706.20, 112,750.29 and 54,844.98

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Solution

The fourth proportional to 81,706.20, 112,750.29 and 54,844.98 is: 75,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,706.20 : 112,750.29 = 54,844.98 : x
  2. Step 2: Convert to fraction form
    81,706.20/112,750.29 = 54,844.98/x
  3. Step 3: Cross multiply
    81,706.20x = 112,750.29 × 54,844.98
  4. Step 4: Simplify right side
    81,706.20x = 6,183,787,400.04
  5. Step 5: Solve for x
    x = 6,183,787,400.04/81,706.20
  6. Step 6: Final answer
    x = 75,683.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.