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Finding the Fourth Proportional to 75,222, 112,839.84 and 19,818

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Solution

The fourth proportional to 75,222, 112,839.84 and 19,818 is: 29,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,222 : 112,839.84 = 19,818 : x
  2. Step 2: Convert to fraction form
    75,222/112,839.84 = 19,818/x
  3. Step 3: Cross multiply
    75,222x = 112,839.84 × 19,818
  4. Step 4: Simplify right side
    75,222x = 2,236,259,949.12
  5. Step 5: Solve for x
    x = 2,236,259,949.12/75,222
  6. Step 6: Final answer
    x = 29,728.80

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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.