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Finding the Fourth Proportional to 137,716.10, 206,574.15 and 81,728.90

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Solution

The fourth proportional to 137,716.10, 206,574.15 and 81,728.90 is: 122,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.10 : 206,574.15 = 81,728.90 : x
  2. Step 2: Convert to fraction form
    137,716.10/206,574.15 = 81,728.90/x
  3. Step 3: Cross multiply
    137,716.10x = 206,574.15 × 81,728.90
  4. Step 4: Simplify right side
    137,716.10x = 16,883,078,047.94
  5. Step 5: Solve for x
    x = 16,883,078,047.94/137,716.10
  6. Step 6: Final answer
    x = 122,593.35

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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.