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Finding the Fourth Proportional to 70,581.36, 105,889.80 and 31,149.36

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Solution

The fourth proportional to 70,581.36, 105,889.80 and 31,149.36 is: 46,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,581.36 : 105,889.80 = 31,149.36 : x
  2. Step 2: Convert to fraction form
    70,581.36/105,889.80 = 31,149.36/x
  3. Step 3: Cross multiply
    70,581.36x = 105,889.80 × 31,149.36
  4. Step 4: Simplify right side
    70,581.36x = 3,298,399,500.53
  5. Step 5: Solve for x
    x = 3,298,399,500.53/70,581.36
  6. Step 6: Final answer
    x = 46,731.88

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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.