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Finding the Fourth Proportional to 202,851.56, 303,916.49 and 172,966.21

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Solution

The fourth proportional to 202,851.56, 303,916.49 and 172,966.21 is: 259,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,851.56 : 303,916.49 = 172,966.21 : x
  2. Step 2: Convert to fraction form
    202,851.56/303,916.49 = 172,966.21/x
  3. Step 3: Cross multiply
    202,851.56x = 303,916.49 × 172,966.21
  4. Step 4: Simplify right side
    202,851.56x = 52,567,282,455.80
  5. Step 5: Solve for x
    x = 52,567,282,455.80/202,851.56
  6. Step 6: Final answer
    x = 259,141.62

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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.