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Finding the Fourth Proportional to 102,649.20, 154,060.20 and 50,103.60

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Solution

The fourth proportional to 102,649.20, 154,060.20 and 50,103.60 is: 75,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,649.20 : 154,060.20 = 50,103.60 : x
  2. Step 2: Convert to fraction form
    102,649.20/154,060.20 = 50,103.60/x
  3. Step 3: Cross multiply
    102,649.20x = 154,060.20 × 50,103.60
  4. Step 4: Simplify right side
    102,649.20x = 7,718,970,636.72
  5. Step 5: Solve for x
    x = 7,718,970,636.72/102,649.20
  6. Step 6: Final answer
    x = 75,197.57

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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.