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Finding the Fourth Proportional to 106,380.42, 146,803.23 and 58,638.21

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Solution

The fourth proportional to 106,380.42, 146,803.23 and 58,638.21 is: 80,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,380.42 : 146,803.23 = 58,638.21 : x
  2. Step 2: Convert to fraction form
    106,380.42/146,803.23 = 58,638.21/x
  3. Step 3: Cross multiply
    106,380.42x = 146,803.23 × 58,638.21
  4. Step 4: Simplify right side
    106,380.42x = 8,608,278,629.42
  5. Step 5: Solve for x
    x = 8,608,278,629.42/106,380.42
  6. Step 6: Final answer
    x = 80,919.77

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