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Finding the Fourth Proportional to 137,546.69, 206,379.43 and 74,411.29

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Solution

The fourth proportional to 137,546.69, 206,379.43 and 74,411.29 is: 111,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,546.69 : 206,379.43 = 74,411.29 : x
  2. Step 2: Convert to fraction form
    137,546.69/206,379.43 = 74,411.29/x
  3. Step 3: Cross multiply
    137,546.69x = 206,379.43 × 74,411.29
  4. Step 4: Simplify right side
    137,546.69x = 15,356,958,693.96
  5. Step 5: Solve for x
    x = 15,356,958,693.96/137,546.69
  6. Step 6: Final answer
    x = 111,649.06

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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.