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Finding the Fourth Proportional to 72,043.89, 108,071.04 and 27,670.65

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Solution

The fourth proportional to 72,043.89, 108,071.04 and 27,670.65 is: 41,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,043.89 : 108,071.04 = 27,670.65 : x
  2. Step 2: Convert to fraction form
    72,043.89/108,071.04 = 27,670.65/x
  3. Step 3: Cross multiply
    72,043.89x = 108,071.04 × 27,670.65
  4. Step 4: Simplify right side
    72,043.89x = 2,990,395,922.98
  5. Step 5: Solve for x
    x = 2,990,395,922.98/72,043.89
  6. Step 6: Final answer
    x = 41,507.97

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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.