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Finding the Fourth Proportional to 73,289.83, 109,912.74 and 31,169.56

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Solution

The fourth proportional to 73,289.83, 109,912.74 and 31,169.56 is: 46,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,289.83 : 109,912.74 = 31,169.56 : x
  2. Step 2: Convert to fraction form
    73,289.83/109,912.74 = 31,169.56/x
  3. Step 3: Cross multiply
    73,289.83x = 109,912.74 × 31,169.56
  4. Step 4: Simplify right side
    73,289.83x = 3,425,931,744.19
  5. Step 5: Solve for x
    x = 3,425,931,744.19/73,289.83
  6. Step 6: Final answer
    x = 46,744.98

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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.