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Finding the Fourth Proportional to 70,422.93, 105,634.58 and 17,832.42

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Solution

The fourth proportional to 70,422.93, 105,634.58 and 17,832.42 is: 26,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422.93 : 105,634.58 = 17,832.42 : x
  2. Step 2: Convert to fraction form
    70,422.93/105,634.58 = 17,832.42/x
  3. Step 3: Cross multiply
    70,422.93x = 105,634.58 × 17,832.42
  4. Step 4: Simplify right side
    70,422.93x = 1,883,720,107.92
  5. Step 5: Solve for x
    x = 1,883,720,107.92/70,422.93
  6. Step 6: Final answer
    x = 26,748.68

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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.