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Finding the Fourth Proportional to 147,189, 203,120.82 and 80,121

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Solution

The fourth proportional to 147,189, 203,120.82 and 80,121 is: 110,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,189 : 203,120.82 = 80,121 : x
  2. Step 2: Convert to fraction form
    147,189/203,120.82 = 80,121/x
  3. Step 3: Cross multiply
    147,189x = 203,120.82 × 80,121
  4. Step 4: Simplify right side
    147,189x = 16,274,243,219.22
  5. Step 5: Solve for x
    x = 16,274,243,219.22/147,189
  6. Step 6: Final answer
    x = 110,566.98

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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.