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Finding the Fourth Proportional to 202,239.72, 303,398.60 and 77,571

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Solution

The fourth proportional to 202,239.72, 303,398.60 and 77,571 is: 116,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,239.72 : 303,398.60 = 77,571 : x
  2. Step 2: Convert to fraction form
    202,239.72/303,398.60 = 77,571/x
  3. Step 3: Cross multiply
    202,239.72x = 303,398.60 × 77,571
  4. Step 4: Simplify right side
    202,239.72x = 23,534,932,412.75
  5. Step 5: Solve for x
    x = 23,534,932,412.75/202,239.72
  6. Step 6: Final answer
    x = 116,371.46

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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.