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Finding the Fourth Proportional to 81,766.49, 122,688.46 and 34,391.96

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Solution

The fourth proportional to 81,766.49, 122,688.46 and 34,391.96 is: 51,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,766.49 : 122,688.46 = 34,391.96 : x
  2. Step 2: Convert to fraction form
    81,766.49/122,688.46 = 34,391.96/x
  3. Step 3: Cross multiply
    81,766.49x = 122,688.46 × 34,391.96
  4. Step 4: Simplify right side
    81,766.49x = 4,219,495,995.34
  5. Step 5: Solve for x
    x = 4,219,495,995.34/81,766.49
  6. Step 6: Final answer
    x = 51,604.22

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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.