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Finding the Fourth Proportional to 47,379, 71,068.77 and 19,677

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Solution

The fourth proportional to 47,379, 71,068.77 and 19,677 is: 29,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,379 : 71,068.77 = 19,677 : x
  2. Step 2: Convert to fraction form
    47,379/71,068.77 = 19,677/x
  3. Step 3: Cross multiply
    47,379x = 71,068.77 × 19,677
  4. Step 4: Simplify right side
    47,379x = 1,398,420,187.29
  5. Step 5: Solve for x
    x = 1,398,420,187.29/47,379
  6. Step 6: Final answer
    x = 29,515.61

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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.