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Finding the Fourth Proportional to 147,235, 220,847.64 and 47,400.88

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Solution

The fourth proportional to 147,235, 220,847.64 and 47,400.88 is: 71,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,235 : 220,847.64 = 47,400.88 : x
  2. Step 2: Convert to fraction form
    147,235/220,847.64 = 47,400.88/x
  3. Step 3: Cross multiply
    147,235x = 220,847.64 × 47,400.88
  4. Step 4: Simplify right side
    147,235x = 10,468,372,481.92
  5. Step 5: Solve for x
    x = 10,468,372,481.92/147,235
  6. Step 6: Final answer
    x = 71,099.76

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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.