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Finding the Fourth Proportional to 73,135.80, 109,703.70 and 17,731.80

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Solution

The fourth proportional to 73,135.80, 109,703.70 and 17,731.80 is: 26,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,135.80 : 109,703.70 = 17,731.80 : x
  2. Step 2: Convert to fraction form
    73,135.80/109,703.70 = 17,731.80/x
  3. Step 3: Cross multiply
    73,135.80x = 109,703.70 × 17,731.80
  4. Step 4: Simplify right side
    73,135.80x = 1,945,244,067.66
  5. Step 5: Solve for x
    x = 1,945,244,067.66/73,135.80
  6. Step 6: Final answer
    x = 26,597.70

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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.