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Finding the Fourth Proportional to 72,639.22, 108,965.10 and 20,048.71

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Solution

The fourth proportional to 72,639.22, 108,965.10 and 20,048.71 is: 30,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,639.22 : 108,965.10 = 20,048.71 : x
  2. Step 2: Convert to fraction form
    72,639.22/108,965.10 = 20,048.71/x
  3. Step 3: Cross multiply
    72,639.22x = 108,965.10 × 20,048.71
  4. Step 4: Simplify right side
    72,639.22x = 2,184,609,690.02
  5. Step 5: Solve for x
    x = 2,184,609,690.02/72,639.22
  6. Step 6: Final answer
    x = 30,074.80

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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.