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Finding the Fourth Proportional to 70,380.36, 105,571.24 and 17,789.86

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Solution

The fourth proportional to 70,380.36, 105,571.24 and 17,789.86 is: 26,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,380.36 : 105,571.24 = 17,789.86 : x
  2. Step 2: Convert to fraction form
    70,380.36/105,571.24 = 17,789.86/x
  3. Step 3: Cross multiply
    70,380.36x = 105,571.24 × 17,789.86
  4. Step 4: Simplify right side
    70,380.36x = 1,878,097,579.63
  5. Step 5: Solve for x
    x = 1,878,097,579.63/70,380.36
  6. Step 6: Final answer
    x = 26,684.97

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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.