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Finding the Fourth Proportional to 129,242, 193,863 and 41,690

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Solution

The fourth proportional to 129,242, 193,863 and 41,690 is: 62,535

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,242 : 193,863 = 41,690 : x
  2. Step 2: Convert to fraction form
    129,242/193,863 = 41,690/x
  3. Step 3: Cross multiply
    129,242x = 193,863 × 41,690
  4. Step 4: Simplify right side
    129,242x = 8,082,148,470
  5. Step 5: Solve for x
    x = 8,082,148,470/129,242
  6. Step 6: Final answer
    x = 62,535

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.