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Finding the Fourth Proportional to 70,586.44, 105,851.40 and 31,115.50

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Solution

The fourth proportional to 70,586.44, 105,851.40 and 31,115.50 is: 46,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,586.44 : 105,851.40 = 31,115.50 : x
  2. Step 2: Convert to fraction form
    70,586.44/105,851.40 = 31,115.50/x
  3. Step 3: Cross multiply
    70,586.44x = 105,851.40 × 31,115.50
  4. Step 4: Simplify right side
    70,586.44x = 3,293,619,236.70
  5. Step 5: Solve for x
    x = 3,293,619,236.70/70,586.44
  6. Step 6: Final answer
    x = 46,660.79

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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.