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Finding the Fourth Proportional to 70,279.20, 105,418.80 and 28,716.48

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Solution

The fourth proportional to 70,279.20, 105,418.80 and 28,716.48 is: 43,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,279.20 : 105,418.80 = 28,716.48 : x
  2. Step 2: Convert to fraction form
    70,279.20/105,418.80 = 28,716.48/x
  3. Step 3: Cross multiply
    70,279.20x = 105,418.80 × 28,716.48
  4. Step 4: Simplify right side
    70,279.20x = 3,027,256,861.82
  5. Step 5: Solve for x
    x = 3,027,256,861.82/70,279.20
  6. Step 6: Final answer
    x = 43,074.72

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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.