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Finding the Fourth Proportional to 82,014.60, 122,849.10 and 68,190.60

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Solution

The fourth proportional to 82,014.60, 122,849.10 and 68,190.60 is: 102,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.60 : 122,849.10 = 68,190.60 : x
  2. Step 2: Convert to fraction form
    82,014.60/122,849.10 = 68,190.60/x
  3. Step 3: Cross multiply
    82,014.60x = 122,849.10 × 68,190.60
  4. Step 4: Simplify right side
    82,014.60x = 8,377,153,838.46
  5. Step 5: Solve for x
    x = 8,377,153,838.46/82,014.60
  6. Step 6: Final answer
    x = 102,142.23

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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.