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Finding the Fourth Proportional to 72,039.42, 108,073.14 and 27,662.91

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Solution

The fourth proportional to 72,039.42, 108,073.14 and 27,662.91 is: 41,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,039.42 : 108,073.14 = 27,662.91 : x
  2. Step 2: Convert to fraction form
    72,039.42/108,073.14 = 27,662.91/x
  3. Step 3: Cross multiply
    72,039.42x = 108,073.14 × 27,662.91
  4. Step 4: Simplify right side
    72,039.42x = 2,989,617,441.50
  5. Step 5: Solve for x
    x = 2,989,617,441.50/72,039.42
  6. Step 6: Final answer
    x = 41,499.74

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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.