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Finding the Fourth Proportional to 47,379, 71,068.86 and 16,214.52

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Solution

The fourth proportional to 47,379, 71,068.86 and 16,214.52 is: 24,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,379 : 71,068.86 = 16,214.52 : x
  2. Step 2: Convert to fraction form
    47,379/71,068.86 = 16,214.52/x
  3. Step 3: Cross multiply
    47,379x = 71,068.86 × 16,214.52
  4. Step 4: Simplify right side
    47,379x = 1,152,347,451.85
  5. Step 5: Solve for x
    x = 1,152,347,451.85/47,379
  6. Step 6: Final answer
    x = 24,321.90

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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.