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Finding the Fourth Proportional to 82,186.50, 123,205.77 and 29,559

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Solution

The fourth proportional to 82,186.50, 123,205.77 and 29,559 is: 44,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,186.50 : 123,205.77 = 29,559 : x
  2. Step 2: Convert to fraction form
    82,186.50/123,205.77 = 29,559/x
  3. Step 3: Cross multiply
    82,186.50x = 123,205.77 × 29,559
  4. Step 4: Simplify right side
    82,186.50x = 3,641,839,355.43
  5. Step 5: Solve for x
    x = 3,641,839,355.43/82,186.50
  6. Step 6: Final answer
    x = 44,311.89

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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.