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Finding the Fourth Proportional to 70,287.72, 105,431.61 and 20,367.87

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Solution

The fourth proportional to 70,287.72, 105,431.61 and 20,367.87 is: 30,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.72 : 105,431.61 = 20,367.87 : x
  2. Step 2: Convert to fraction form
    70,287.72/105,431.61 = 20,367.87/x
  3. Step 3: Cross multiply
    70,287.72x = 105,431.61 × 20,367.87
  4. Step 4: Simplify right side
    70,287.72x = 2,147,417,326.37
  5. Step 5: Solve for x
    x = 2,147,417,326.37/70,287.72
  6. Step 6: Final answer
    x = 30,551.81

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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.