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Finding the Fourth Proportional to 70,474.71, 105,727.61 and 20,558.71

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Solution

The fourth proportional to 70,474.71, 105,727.61 and 20,558.71 is: 30,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,474.71 : 105,727.61 = 20,558.71 : x
  2. Step 2: Convert to fraction form
    70,474.71/105,727.61 = 20,558.71/x
  3. Step 3: Cross multiply
    70,474.71x = 105,727.61 × 20,558.71
  4. Step 4: Simplify right side
    70,474.71x = 2,173,623,272.98
  5. Step 5: Solve for x
    x = 2,173,623,272.98/70,474.71
  6. Step 6: Final answer
    x = 30,842.60

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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.