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Finding the Fourth Proportional to 87,624, 131,408.16 and 28,446

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Solution

The fourth proportional to 87,624, 131,408.16 and 28,446 is: 42,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,624 : 131,408.16 = 28,446 : x
  2. Step 2: Convert to fraction form
    87,624/131,408.16 = 28,446/x
  3. Step 3: Cross multiply
    87,624x = 131,408.16 × 28,446
  4. Step 4: Simplify right side
    87,624x = 3,738,036,519.36
  5. Step 5: Solve for x
    x = 3,738,036,519.36/87,624
  6. Step 6: Final answer
    x = 42,659.96

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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.