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Finding the Fourth Proportional to 74,661, 111,993.66 and 19,257

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Solution

The fourth proportional to 74,661, 111,993.66 and 19,257 is: 28,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,661 : 111,993.66 = 19,257 : x
  2. Step 2: Convert to fraction form
    74,661/111,993.66 = 19,257/x
  3. Step 3: Cross multiply
    74,661x = 111,993.66 × 19,257
  4. Step 4: Simplify right side
    74,661x = 2,156,661,910.62
  5. Step 5: Solve for x
    x = 2,156,661,910.62/74,661
  6. Step 6: Final answer
    x = 28,886.06

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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.