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Finding the Fourth Proportional to 79,846.64, 119,780.90 and 27,242

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Solution

The fourth proportional to 79,846.64, 119,780.90 and 27,242 is: 40,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,846.64 : 119,780.90 = 27,242 : x
  2. Step 2: Convert to fraction form
    79,846.64/119,780.90 = 27,242/x
  3. Step 3: Cross multiply
    79,846.64x = 119,780.90 × 27,242
  4. Step 4: Simplify right side
    79,846.64x = 3,263,071,277.80
  5. Step 5: Solve for x
    x = 3,263,071,277.80/79,846.64
  6. Step 6: Final answer
    x = 40,866.73

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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.