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Finding the Fourth Proportional to 206,020.40, 308,817.52 and 117,082.40

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Solution

The fourth proportional to 206,020.40, 308,817.52 and 117,082.40 is: 175,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,020.40 : 308,817.52 = 117,082.40 : x
  2. Step 2: Convert to fraction form
    206,020.40/308,817.52 = 117,082.40/x
  3. Step 3: Cross multiply
    206,020.40x = 308,817.52 × 117,082.40
  4. Step 4: Simplify right side
    206,020.40x = 36,157,096,403.65
  5. Step 5: Solve for x
    x = 36,157,096,403.65/206,020.40
  6. Step 6: Final answer
    x = 175,502.51

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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.