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Finding the Fourth Proportional to 38,838, 58,131.69 and 20,092.22

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Solution

The fourth proportional to 38,838, 58,131.69 and 20,092.22 is: 30,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,838 : 58,131.69 = 20,092.22 : x
  2. Step 2: Convert to fraction form
    38,838/58,131.69 = 20,092.22/x
  3. Step 3: Cross multiply
    38,838x = 58,131.69 × 20,092.22
  4. Step 4: Simplify right side
    38,838x = 1,167,994,704.45
  5. Step 5: Solve for x
    x = 1,167,994,704.45/38,838
  6. Step 6: Final answer
    x = 30,073.50

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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.