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Finding the Fourth Proportional to 73,143.75, 100,909.80 and 42,511.76

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Solution

The fourth proportional to 73,143.75, 100,909.80 and 42,511.76 is: 58,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,143.75 : 100,909.80 = 42,511.76 : x
  2. Step 2: Convert to fraction form
    73,143.75/100,909.80 = 42,511.76/x
  3. Step 3: Cross multiply
    73,143.75x = 100,909.80 × 42,511.76
  4. Step 4: Simplify right side
    73,143.75x = 4,289,852,694.70
  5. Step 5: Solve for x
    x = 4,289,852,694.70/73,143.75
  6. Step 6: Final answer
    x = 58,649.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.