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Finding the Fourth Proportional to 72,210.56, 108,315.83 and 27,219.71

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Solution

The fourth proportional to 72,210.56, 108,315.83 and 27,219.71 is: 40,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,210.56 : 108,315.83 = 27,219.71 : x
  2. Step 2: Convert to fraction form
    72,210.56/108,315.83 = 27,219.71/x
  3. Step 3: Cross multiply
    72,210.56x = 108,315.83 × 27,219.71
  4. Step 4: Simplify right side
    72,210.56x = 2,948,325,819.85
  5. Step 5: Solve for x
    x = 2,948,325,819.85/72,210.56
  6. Step 6: Final answer
    x = 40,829.57

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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.