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Finding the Fourth Proportional to 206,193.20, 284,683.08 and 158,360.72

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Solution

The fourth proportional to 206,193.20, 284,683.08 and 158,360.72 is: 218,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,193.20 : 284,683.08 = 158,360.72 : x
  2. Step 2: Convert to fraction form
    206,193.20/284,683.08 = 158,360.72/x
  3. Step 3: Cross multiply
    206,193.20x = 284,683.08 × 158,360.72
  4. Step 4: Simplify right side
    206,193.20x = 45,082,617,520.62
  5. Step 5: Solve for x
    x = 45,082,617,520.62/206,193.20
  6. Step 6: Final answer
    x = 218,642.60

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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.