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Finding the Fourth Proportional to 87,324.64, 120,508 and 47,580.64

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Solution

The fourth proportional to 87,324.64, 120,508 and 47,580.64 is: 65,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,324.64 : 120,508 = 47,580.64 : x
  2. Step 2: Convert to fraction form
    87,324.64/120,508 = 47,580.64/x
  3. Step 3: Cross multiply
    87,324.64x = 120,508 × 47,580.64
  4. Step 4: Simplify right side
    87,324.64x = 5,733,847,765.12
  5. Step 5: Solve for x
    x = 5,733,847,765.12/87,324.64
  6. Step 6: Final answer
    x = 65,661.28

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1.5x scale

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.