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Finding the Fourth Proportional to 147,239, 203,189.82 and 80,171

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Solution

The fourth proportional to 147,239, 203,189.82 and 80,171 is: 110,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,239 : 203,189.82 = 80,171 : x
  2. Step 2: Convert to fraction form
    147,239/203,189.82 = 80,171/x
  3. Step 3: Cross multiply
    147,239x = 203,189.82 × 80,171
  4. Step 4: Simplify right side
    147,239x = 16,289,931,059.22
  5. Step 5: Solve for x
    x = 16,289,931,059.22/147,239
  6. Step 6: Final answer
    x = 110,635.98

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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.