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Finding the Fourth Proportional to 47,676.72, 71,522.88 and 19,589.28

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Solution

The fourth proportional to 47,676.72, 71,522.88 and 19,589.28 is: 29,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.72 : 71,522.88 = 19,589.28 : x
  2. Step 2: Convert to fraction form
    47,676.72/71,522.88 = 19,589.28/x
  3. Step 3: Cross multiply
    47,676.72x = 71,522.88 × 19,589.28
  4. Step 4: Simplify right side
    47,676.72x = 1,401,081,722.73
  5. Step 5: Solve for x
    x = 1,401,081,722.73/47,676.72
  6. Step 6: Final answer
    x = 29,387.12

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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.