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Finding the Fourth Proportional to 70,642.64, 105,964.05 and 18,052.18

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Solution

The fourth proportional to 70,642.64, 105,964.05 and 18,052.18 is: 27,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.64 : 105,964.05 = 18,052.18 : x
  2. Step 2: Convert to fraction form
    70,642.64/105,964.05 = 18,052.18/x
  3. Step 3: Cross multiply
    70,642.64x = 105,964.05 × 18,052.18
  4. Step 4: Simplify right side
    70,642.64x = 1,912,882,104.13
  5. Step 5: Solve for x
    x = 1,912,882,104.13/70,642.64
  6. Step 6: Final answer
    x = 27,078.29

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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.