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Finding the Fourth Proportional to 70,162.47, 105,183.56 and 47,909.75

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Solution

The fourth proportional to 70,162.47, 105,183.56 and 47,909.75 is: 71,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,162.47 : 105,183.56 = 47,909.75 : x
  2. Step 2: Convert to fraction form
    70,162.47/105,183.56 = 47,909.75/x
  3. Step 3: Cross multiply
    70,162.47x = 105,183.56 × 47,909.75
  4. Step 4: Simplify right side
    70,162.47x = 5,039,317,657.57
  5. Step 5: Solve for x
    x = 5,039,317,657.57/70,162.47
  6. Step 6: Final answer
    x = 71,823.55

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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.