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Finding the Fourth Proportional to 72,717.84, 109,078.12 and 22,796.82

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Solution

The fourth proportional to 72,717.84, 109,078.12 and 22,796.82 is: 34,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,717.84 : 109,078.12 = 22,796.82 : x
  2. Step 2: Convert to fraction form
    72,717.84/109,078.12 = 22,796.82/x
  3. Step 3: Cross multiply
    72,717.84x = 109,078.12 × 22,796.82
  4. Step 4: Simplify right side
    72,717.84x = 2,486,634,267.58
  5. Step 5: Solve for x
    x = 2,486,634,267.58/72,717.84
  6. Step 6: Final answer
    x = 34,195.66

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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.