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Finding the Fourth Proportional to 70,789.14, 106,183.71 and 31,374.54

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Solution

The fourth proportional to 70,789.14, 106,183.71 and 31,374.54 is: 47,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,789.14 : 106,183.71 = 31,374.54 : x
  2. Step 2: Convert to fraction form
    70,789.14/106,183.71 = 31,374.54/x
  3. Step 3: Cross multiply
    70,789.14x = 106,183.71 × 31,374.54
  4. Step 4: Simplify right side
    70,789.14x = 3,331,465,056.74
  5. Step 5: Solve for x
    x = 3,331,465,056.74/70,789.14
  6. Step 6: Final answer
    x = 47,061.81

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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.