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Finding the Fourth Proportional to 72,919, 109,378.52 and 23,671

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Solution

The fourth proportional to 72,919, 109,378.52 and 23,671 is: 35,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,919 : 109,378.52 = 23,671 : x
  2. Step 2: Convert to fraction form
    72,919/109,378.52 = 23,671/x
  3. Step 3: Cross multiply
    72,919x = 109,378.52 × 23,671
  4. Step 4: Simplify right side
    72,919x = 2,589,098,946.92
  5. Step 5: Solve for x
    x = 2,589,098,946.92/72,919
  6. Step 6: Final answer
    x = 35,506.51

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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.