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Finding the Fourth Proportional to 137,589.66, 206,092.89 and 103,939.02

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Solution

The fourth proportional to 137,589.66, 206,092.89 and 103,939.02 is: 155,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,589.66 : 206,092.89 = 103,939.02 : x
  2. Step 2: Convert to fraction form
    137,589.66/206,092.89 = 103,939.02/x
  3. Step 3: Cross multiply
    137,589.66x = 206,092.89 × 103,939.02
  4. Step 4: Simplify right side
    137,589.66x = 21,421,093,015.57
  5. Step 5: Solve for x
    x = 21,421,093,015.57/137,589.66
  6. Step 6: Final answer
    x = 155,688.25

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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.