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Finding the Fourth Proportional to 84,193.46, 126,110.64 and 68,114

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Solution

The fourth proportional to 84,193.46, 126,110.64 and 68,114 is: 102,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,193.46 : 126,110.64 = 68,114 : x
  2. Step 2: Convert to fraction form
    84,193.46/126,110.64 = 68,114/x
  3. Step 3: Cross multiply
    84,193.46x = 126,110.64 × 68,114
  4. Step 4: Simplify right side
    84,193.46x = 8,589,900,132.96
  5. Step 5: Solve for x
    x = 8,589,900,132.96/84,193.46
  6. Step 6: Final answer
    x = 102,025.74

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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.