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Finding the Fourth Proportional to 75,103.20, 112,363.20 and 48,859.20

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Solution

The fourth proportional to 75,103.20, 112,363.20 and 48,859.20 is: 73,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,103.20 : 112,363.20 = 48,859.20 : x
  2. Step 2: Convert to fraction form
    75,103.20/112,363.20 = 48,859.20/x
  3. Step 3: Cross multiply
    75,103.20x = 112,363.20 × 48,859.20
  4. Step 4: Simplify right side
    75,103.20x = 5,489,976,061.44
  5. Step 5: Solve for x
    x = 5,489,976,061.44/75,103.20
  6. Step 6: Final answer
    x = 73,099.10

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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.