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Finding the Fourth Proportional to 202,039.31, 303,060.49 and 89,689.33

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Solution

The fourth proportional to 202,039.31, 303,060.49 and 89,689.33 is: 134,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,039.31 : 303,060.49 = 89,689.33 : x
  2. Step 2: Convert to fraction form
    202,039.31/303,060.49 = 89,689.33/x
  3. Step 3: Cross multiply
    202,039.31x = 303,060.49 × 89,689.33
  4. Step 4: Simplify right side
    202,039.31x = 27,181,290,747.46
  5. Step 5: Solve for x
    x = 27,181,290,747.46/202,039.31
  6. Step 6: Final answer
    x = 134,534.66

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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.