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Finding the Fourth Proportional to 147,716.61, 203,847.87 and 80,648.61

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Solution

The fourth proportional to 147,716.61, 203,847.87 and 80,648.61 is: 111,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,716.61 : 203,847.87 = 80,648.61 : x
  2. Step 2: Convert to fraction form
    147,716.61/203,847.87 = 80,648.61/x
  3. Step 3: Cross multiply
    147,716.61x = 203,847.87 × 80,648.61
  4. Step 4: Simplify right side
    147,716.61x = 16,440,047,366.96
  5. Step 5: Solve for x
    x = 16,440,047,366.96/147,716.61
  6. Step 6: Final answer
    x = 111,294.51

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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.