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Finding the Fourth Proportional to 202,242.72, 303,403.11 and 77,574

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Solution

The fourth proportional to 202,242.72, 303,403.11 and 77,574 is: 116,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,242.72 : 303,403.11 = 77,574 : x
  2. Step 2: Convert to fraction form
    202,242.72/303,403.11 = 77,574/x
  3. Step 3: Cross multiply
    202,242.72x = 303,403.11 × 77,574
  4. Step 4: Simplify right side
    202,242.72x = 23,536,192,855.14
  5. Step 5: Solve for x
    x = 23,536,192,855.14/202,242.72
  6. Step 6: Final answer
    x = 116,375.97

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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.