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Finding the Fourth Proportional to 70,990.94, 106,511.52 and 31,544.48

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Solution

The fourth proportional to 70,990.94, 106,511.52 and 31,544.48 is: 47,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,990.94 : 106,511.52 = 31,544.48 : x
  2. Step 2: Convert to fraction form
    70,990.94/106,511.52 = 31,544.48/x
  3. Step 3: Cross multiply
    70,990.94x = 106,511.52 × 31,544.48
  4. Step 4: Simplify right side
    70,990.94x = 3,359,850,512.41
  5. Step 5: Solve for x
    x = 3,359,850,512.41/70,990.94
  6. Step 6: Final answer
    x = 47,327.88

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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.