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Finding the Fourth Proportional to 203,617.80, 306,082.80 and 144,860.40

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Solution

The fourth proportional to 203,617.80, 306,082.80 and 144,860.40 is: 217,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,617.80 : 306,082.80 = 144,860.40 : x
  2. Step 2: Convert to fraction form
    203,617.80/306,082.80 = 144,860.40/x
  3. Step 3: Cross multiply
    203,617.80x = 306,082.80 × 144,860.40
  4. Step 4: Simplify right side
    203,617.80x = 44,339,276,841.12
  5. Step 5: Solve for x
    x = 44,339,276,841.12/203,617.80
  6. Step 6: Final answer
    x = 217,757.37

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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.