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Finding the Fourth Proportional to 70,674.88, 105,986.40 and 20,742.16

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Solution

The fourth proportional to 70,674.88, 105,986.40 and 20,742.16 is: 31,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,674.88 : 105,986.40 = 20,742.16 : x
  2. Step 2: Convert to fraction form
    70,674.88/105,986.40 = 20,742.16/x
  3. Step 3: Cross multiply
    70,674.88x = 105,986.40 × 20,742.16
  4. Step 4: Simplify right side
    70,674.88x = 2,198,386,866.62
  5. Step 5: Solve for x
    x = 2,198,386,866.62/70,674.88
  6. Step 6: Final answer
    x = 31,105.63

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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.