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Finding the Fourth Proportional to 87,614.78, 120,908.30 and 47,328.54

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Solution

The fourth proportional to 87,614.78, 120,908.30 and 47,328.54 is: 65,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,614.78 : 120,908.30 = 47,328.54 : x
  2. Step 2: Convert to fraction form
    87,614.78/120,908.30 = 47,328.54/x
  3. Step 3: Cross multiply
    87,614.78x = 120,908.30 × 47,328.54
  4. Step 4: Simplify right side
    87,614.78x = 5,722,412,622.83
  5. Step 5: Solve for x
    x = 5,722,412,622.83/87,614.78
  6. Step 6: Final answer
    x = 65,313.32

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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.