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Finding the Fourth Proportional to 180,037, 248,451.06 and 100,549

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Solution

The fourth proportional to 180,037, 248,451.06 and 100,549 is: 138,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,037 : 248,451.06 = 100,549 : x
  2. Step 2: Convert to fraction form
    180,037/248,451.06 = 100,549/x
  3. Step 3: Cross multiply
    180,037x = 248,451.06 × 100,549
  4. Step 4: Simplify right side
    180,037x = 24,981,505,631.94
  5. Step 5: Solve for x
    x = 24,981,505,631.94/180,037
  6. Step 6: Final answer
    x = 138,757.62

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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.