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Finding the Fourth Proportional to 70,845.52, 106,274.80 and 18,255.20

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Solution

The fourth proportional to 70,845.52, 106,274.80 and 18,255.20 is: 27,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,845.52 : 106,274.80 = 18,255.20 : x
  2. Step 2: Convert to fraction form
    70,845.52/106,274.80 = 18,255.20/x
  3. Step 3: Cross multiply
    70,845.52x = 106,274.80 × 18,255.20
  4. Step 4: Simplify right side
    70,845.52x = 1,940,067,728.96
  5. Step 5: Solve for x
    x = 1,940,067,728.96/70,845.52
  6. Step 6: Final answer
    x = 27,384.48

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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.