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Finding the Fourth Proportional to 147,706.86, 203,834.42 and 80,638.86

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Solution

The fourth proportional to 147,706.86, 203,834.42 and 80,638.86 is: 111,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,706.86 : 203,834.42 = 80,638.86 : x
  2. Step 2: Convert to fraction form
    147,706.86/203,834.42 = 80,638.86/x
  3. Step 3: Cross multiply
    147,706.86x = 203,834.42 × 80,638.86
  4. Step 4: Simplify right side
    147,706.86x = 16,436,975,257.56
  5. Step 5: Solve for x
    x = 16,436,975,257.56/147,706.86
  6. Step 6: Final answer
    x = 111,281.06

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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.