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Finding the Fourth Proportional to 75,881.70, 113,822.55 and 19,717.20

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Solution

The fourth proportional to 75,881.70, 113,822.55 and 19,717.20 is: 29,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.70 : 113,822.55 = 19,717.20 : x
  2. Step 2: Convert to fraction form
    75,881.70/113,822.55 = 19,717.20/x
  3. Step 3: Cross multiply
    75,881.70x = 113,822.55 × 19,717.20
  4. Step 4: Simplify right side
    75,881.70x = 2,244,261,982.86
  5. Step 5: Solve for x
    x = 2,244,261,982.86/75,881.70
  6. Step 6: Final answer
    x = 29,575.80

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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.