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Finding the Fourth Proportional to 70,115.81, 105,173.72 and 20,867.81

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Solution

The fourth proportional to 70,115.81, 105,173.72 and 20,867.81 is: 31,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115.81 : 105,173.72 = 20,867.81 : x
  2. Step 2: Convert to fraction form
    70,115.81/105,173.72 = 20,867.81/x
  3. Step 3: Cross multiply
    70,115.81x = 105,173.72 × 20,867.81
  4. Step 4: Simplify right side
    70,115.81x = 2,194,745,468.89
  5. Step 5: Solve for x
    x = 2,194,745,468.89/70,115.81
  6. Step 6: Final answer
    x = 31,301.72

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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.