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Finding the Fourth Proportional to 79,922, 119,888.76 and 30,674

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Solution

The fourth proportional to 79,922, 119,888.76 and 30,674 is: 46,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,922 : 119,888.76 = 30,674 : x
  2. Step 2: Convert to fraction form
    79,922/119,888.76 = 30,674/x
  3. Step 3: Cross multiply
    79,922x = 119,888.76 × 30,674
  4. Step 4: Simplify right side
    79,922x = 3,677,467,824.24
  5. Step 5: Solve for x
    x = 3,677,467,824.24/79,922
  6. Step 6: Final answer
    x = 46,013.21

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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.