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Finding the Fourth Proportional to 75,997.72, 114,003.87 and 19,838.80

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Solution

The fourth proportional to 75,997.72, 114,003.87 and 19,838.80 is: 29,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997.72 : 114,003.87 = 19,838.80 : x
  2. Step 2: Convert to fraction form
    75,997.72/114,003.87 = 19,838.80/x
  3. Step 3: Cross multiply
    75,997.72x = 114,003.87 × 19,838.80
  4. Step 4: Simplify right side
    75,997.72x = 2,261,699,976.16
  5. Step 5: Solve for x
    x = 2,261,699,976.16/75,997.72
  6. Step 6: Final answer
    x = 29,760.10

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1.5x scale

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.