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Finding the Fourth Proportional to 70,912.40, 106,388.32 and 30,934.88

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Solution

The fourth proportional to 70,912.40, 106,388.32 and 30,934.88 is: 46,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,912.40 : 106,388.32 = 30,934.88 : x
  2. Step 2: Convert to fraction form
    70,912.40/106,388.32 = 30,934.88/x
  3. Step 3: Cross multiply
    70,912.40x = 106,388.32 × 30,934.88
  4. Step 4: Simplify right side
    70,912.40x = 3,291,109,912.60
  5. Step 5: Solve for x
    x = 3,291,109,912.60/70,912.40
  6. Step 6: Final answer
    x = 46,410.92

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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.