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Finding the Fourth Proportional to 74,020, 111,021.84 and 18,616

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Solution

The fourth proportional to 74,020, 111,021.84 and 18,616 is: 27,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,020 : 111,021.84 = 18,616 : x
  2. Step 2: Convert to fraction form
    74,020/111,021.84 = 18,616/x
  3. Step 3: Cross multiply
    74,020x = 111,021.84 × 18,616
  4. Step 4: Simplify right side
    74,020x = 2,066,782,573.44
  5. Step 5: Solve for x
    x = 2,066,782,573.44/74,020
  6. Step 6: Final answer
    x = 27,921.95

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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.