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Finding the Fourth Proportional to 68,775.63, 103,163.79 and 31,309.50

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Solution

The fourth proportional to 68,775.63, 103,163.79 and 31,309.50 is: 46,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,775.63 : 103,163.79 = 31,309.50 : x
  2. Step 2: Convert to fraction form
    68,775.63/103,163.79 = 31,309.50/x
  3. Step 3: Cross multiply
    68,775.63x = 103,163.79 × 31,309.50
  4. Step 4: Simplify right side
    68,775.63x = 3,230,006,683.01
  5. Step 5: Solve for x
    x = 3,230,006,683.01/68,775.63
  6. Step 6: Final answer
    x = 46,964.41

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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.