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Finding the Fourth Proportional to 74,190.78, 111,284.64 and 18,031.20

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Solution

The fourth proportional to 74,190.78, 111,284.64 and 18,031.20 is: 27,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,190.78 : 111,284.64 = 18,031.20 : x
  2. Step 2: Convert to fraction form
    74,190.78/111,284.64 = 18,031.20/x
  3. Step 3: Cross multiply
    74,190.78x = 111,284.64 × 18,031.20
  4. Step 4: Simplify right side
    74,190.78x = 2,006,595,600.77
  5. Step 5: Solve for x
    x = 2,006,595,600.77/74,190.78
  6. Step 6: Final answer
    x = 27,046.43

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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.