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Finding the Fourth Proportional to 147,205.50, 203,143.86 and 80,137.50

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Solution

The fourth proportional to 147,205.50, 203,143.86 and 80,137.50 is: 110,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,205.50 : 203,143.86 = 80,137.50 : x
  2. Step 2: Convert to fraction form
    147,205.50/203,143.86 = 80,137.50/x
  3. Step 3: Cross multiply
    147,205.50x = 203,143.86 × 80,137.50
  4. Step 4: Simplify right side
    147,205.50x = 16,279,441,080.75
  5. Step 5: Solve for x
    x = 16,279,441,080.75/147,205.50
  6. Step 6: Final answer
    x = 110,589.90

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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.