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Finding the Fourth Proportional to 100,715.80, 150,891.45 and 48,009.10

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Solution

The fourth proportional to 100,715.80, 150,891.45 and 48,009.10 is: 71,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,715.80 : 150,891.45 = 48,009.10 : x
  2. Step 2: Convert to fraction form
    100,715.80/150,891.45 = 48,009.10/x
  3. Step 3: Cross multiply
    100,715.80x = 150,891.45 × 48,009.10
  4. Step 4: Simplify right side
    100,715.80x = 7,244,162,712.20
  5. Step 5: Solve for x
    x = 7,244,162,712.20/100,715.80
  6. Step 6: Final answer
    x = 71,926.78

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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.