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Finding the Fourth Proportional to 47,668, 71,478.78 and 14,381.80

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Solution

The fourth proportional to 47,668, 71,478.78 and 14,381.80 is: 21,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668 : 71,478.78 = 14,381.80 : x
  2. Step 2: Convert to fraction form
    47,668/71,478.78 = 14,381.80/x
  3. Step 3: Cross multiply
    47,668x = 71,478.78 × 14,381.80
  4. Step 4: Simplify right side
    47,668x = 1,027,993,518.20
  5. Step 5: Solve for x
    x = 1,027,993,518.20/47,668
  6. Step 6: Final answer
    x = 21,565.69

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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.