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Finding the Fourth Proportional to 208,763.54, 313,012.11 and 137,604.02

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Solution

The fourth proportional to 208,763.54, 313,012.11 and 137,604.02 is: 206,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,763.54 : 313,012.11 = 137,604.02 : x
  2. Step 2: Convert to fraction form
    208,763.54/313,012.11 = 137,604.02/x
  3. Step 3: Cross multiply
    208,763.54x = 313,012.11 × 137,604.02
  4. Step 4: Simplify right side
    208,763.54x = 43,071,723,174.13
  5. Step 5: Solve for x
    x = 43,071,723,174.13/208,763.54
  6. Step 6: Final answer
    x = 206,318.23

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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.