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Finding the Fourth Proportional to 70,115.25, 105,172.89 and 20,867.25

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Solution

The fourth proportional to 70,115.25, 105,172.89 and 20,867.25 is: 31,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115.25 : 105,172.89 = 20,867.25 : x
  2. Step 2: Convert to fraction form
    70,115.25/105,172.89 = 20,867.25/x
  3. Step 3: Cross multiply
    70,115.25x = 105,172.89 × 20,867.25
  4. Step 4: Simplify right side
    70,115.25x = 2,194,668,988.85
  5. Step 5: Solve for x
    x = 2,194,668,988.85/70,115.25
  6. Step 6: Final answer
    x = 31,300.88

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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.