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Finding the Fourth Proportional to 205,672.20, 307,852.20 and 161,057.40

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Solution

The fourth proportional to 205,672.20, 307,852.20 and 161,057.40 is: 241,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,672.20 : 307,852.20 = 161,057.40 : x
  2. Step 2: Convert to fraction form
    205,672.20/307,852.20 = 161,057.40/x
  3. Step 3: Cross multiply
    205,672.20x = 307,852.20 × 161,057.40
  4. Step 4: Simplify right side
    205,672.20x = 49,581,874,916.28
  5. Step 5: Solve for x
    x = 49,581,874,916.28/205,672.20
  6. Step 6: Final answer
    x = 241,072.32

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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.