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Finding the Fourth Proportional to 70,315.89, 105,422.96 and 41,785.22

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Solution

The fourth proportional to 70,315.89, 105,422.96 and 41,785.22 is: 62,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,315.89 : 105,422.96 = 41,785.22 : x
  2. Step 2: Convert to fraction form
    70,315.89/105,422.96 = 41,785.22/x
  3. Step 3: Cross multiply
    70,315.89x = 105,422.96 × 41,785.22
  4. Step 4: Simplify right side
    70,315.89x = 4,405,121,576.65
  5. Step 5: Solve for x
    x = 4,405,121,576.65/70,315.89
  6. Step 6: Final answer
    x = 62,647.60

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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.