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Finding the Fourth Proportional to 120,763, 180,969.42 and 68,060.32

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Solution

The fourth proportional to 120,763, 180,969.42 and 68,060.32 is: 101,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,763 : 180,969.42 = 68,060.32 : x
  2. Step 2: Convert to fraction form
    120,763/180,969.42 = 68,060.32/x
  3. Step 3: Cross multiply
    120,763x = 180,969.42 × 68,060.32
  4. Step 4: Simplify right side
    120,763x = 12,316,836,635.41
  5. Step 5: Solve for x
    x = 12,316,836,635.41/120,763
  6. Step 6: Final answer
    x = 101,991.81

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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.