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Finding the Fourth Proportional to 87,322, 120,504.36 and 47,578

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Solution

The fourth proportional to 87,322, 120,504.36 and 47,578 is: 65,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,322 : 120,504.36 = 47,578 : x
  2. Step 2: Convert to fraction form
    87,322/120,504.36 = 47,578/x
  3. Step 3: Cross multiply
    87,322x = 120,504.36 × 47,578
  4. Step 4: Simplify right side
    87,322x = 5,733,356,440.08
  5. Step 5: Solve for x
    x = 5,733,356,440.08/87,322
  6. Step 6: Final answer
    x = 65,657.64

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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.