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Finding the Fourth Proportional to 70,418.52, 105,627.78 and 17,827.92

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Solution

The fourth proportional to 70,418.52, 105,627.78 and 17,827.92 is: 26,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,418.52 : 105,627.78 = 17,827.92 : x
  2. Step 2: Convert to fraction form
    70,418.52/105,627.78 = 17,827.92/x
  3. Step 3: Cross multiply
    70,418.52x = 105,627.78 × 17,827.92
  4. Step 4: Simplify right side
    70,418.52x = 1,883,123,611.62
  5. Step 5: Solve for x
    x = 1,883,123,611.62/70,418.52
  6. Step 6: Final answer
    x = 26,741.88

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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.