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Finding the Fourth Proportional to 87,000, 120,061.44 and 47,256

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Solution

The fourth proportional to 87,000, 120,061.44 and 47,256 is: 65,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,000 : 120,061.44 = 47,256 : x
  2. Step 2: Convert to fraction form
    87,000/120,061.44 = 47,256/x
  3. Step 3: Cross multiply
    87,000x = 120,061.44 × 47,256
  4. Step 4: Simplify right side
    87,000x = 5,673,623,408.64
  5. Step 5: Solve for x
    x = 5,673,623,408.64/87,000
  6. Step 6: Final answer
    x = 65,214.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.