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Finding the Fourth Proportional to 202,506.48, 303,672.24 and 77,760

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Solution

The fourth proportional to 202,506.48, 303,672.24 and 77,760 is: 116,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,506.48 : 303,672.24 = 77,760 : x
  2. Step 2: Convert to fraction form
    202,506.48/303,672.24 = 77,760/x
  3. Step 3: Cross multiply
    202,506.48x = 303,672.24 × 77,760
  4. Step 4: Simplify right side
    202,506.48x = 23,613,553,382.40
  5. Step 5: Solve for x
    x = 23,613,553,382.40/202,506.48
  6. Step 6: Final answer
    x = 116,606.41

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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.