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Finding the Fourth Proportional to 70,934.78, 106,364.73 and 31,474.70

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Solution

The fourth proportional to 70,934.78, 106,364.73 and 31,474.70 is: 47,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,934.78 : 106,364.73 = 31,474.70 : x
  2. Step 2: Convert to fraction form
    70,934.78/106,364.73 = 31,474.70/x
  3. Step 3: Cross multiply
    70,934.78x = 106,364.73 × 31,474.70
  4. Step 4: Simplify right side
    70,934.78x = 3,347,797,967.33
  5. Step 5: Solve for x
    x = 3,347,797,967.33/70,934.78
  6. Step 6: Final answer
    x = 47,195.44

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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.