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Finding the Fourth Proportional to 68,782.65, 103,222.98 and 31,347.69

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Solution

The fourth proportional to 68,782.65, 103,222.98 and 31,347.69 is: 47,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,782.65 : 103,222.98 = 31,347.69 : x
  2. Step 2: Convert to fraction form
    68,782.65/103,222.98 = 31,347.69/x
  3. Step 3: Cross multiply
    68,782.65x = 103,222.98 × 31,347.69
  4. Step 4: Simplify right side
    68,782.65x = 3,235,801,977.92
  5. Step 5: Solve for x
    x = 3,235,801,977.92/68,782.65
  6. Step 6: Final answer
    x = 47,043.87

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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.