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Finding the Fourth Proportional to 70,906.56, 106,378.20 and 31,454.16

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Solution

The fourth proportional to 70,906.56, 106,378.20 and 31,454.16 is: 47,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.56 : 106,378.20 = 31,454.16 : x
  2. Step 2: Convert to fraction form
    70,906.56/106,378.20 = 31,454.16/x
  3. Step 3: Cross multiply
    70,906.56x = 106,378.20 × 31,454.16
  4. Step 4: Simplify right side
    70,906.56x = 3,346,036,923.31
  5. Step 5: Solve for x
    x = 3,346,036,923.31/70,906.56
  6. Step 6: Final answer
    x = 47,189.38

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1.5x scale

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.