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Finding the Fourth Proportional to 70,449.84, 105,678.60 and 17,859.78

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Solution

The fourth proportional to 70,449.84, 105,678.60 and 17,859.78 is: 26,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.84 : 105,678.60 = 17,859.78 : x
  2. Step 2: Convert to fraction form
    70,449.84/105,678.60 = 17,859.78/x
  3. Step 3: Cross multiply
    70,449.84x = 105,678.60 × 17,859.78
  4. Step 4: Simplify right side
    70,449.84x = 1,887,396,546.71
  5. Step 5: Solve for x
    x = 1,887,396,546.71/70,449.84
  6. Step 6: Final answer
    x = 26,790.64

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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.