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Finding the Fourth Proportional to 70,873.70, 106,295.94 and 31,405.64

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Solution

The fourth proportional to 70,873.70, 106,295.94 and 31,405.64 is: 47,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,873.70 : 106,295.94 = 31,405.64 : x
  2. Step 2: Convert to fraction form
    70,873.70/106,295.94 = 31,405.64/x
  3. Step 3: Cross multiply
    70,873.70x = 106,295.94 × 31,405.64
  4. Step 4: Simplify right side
    70,873.70x = 3,338,291,493.62
  5. Step 5: Solve for x
    x = 3,338,291,493.62/70,873.70
  6. Step 6: Final answer
    x = 47,101.98

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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.