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Finding the Fourth Proportional to 141,409.98, 212,103.90 and 82,207.86

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Solution

The fourth proportional to 141,409.98, 212,103.90 and 82,207.86 is: 123,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,409.98 : 212,103.90 = 82,207.86 : x
  2. Step 2: Convert to fraction form
    141,409.98/212,103.90 = 82,207.86/x
  3. Step 3: Cross multiply
    141,409.98x = 212,103.90 × 82,207.86
  4. Step 4: Simplify right side
    141,409.98x = 17,436,607,716.65
  5. Step 5: Solve for x
    x = 17,436,607,716.65/141,409.98
  6. Step 6: Final answer
    x = 123,305.35

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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.