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Finding the Fourth Proportional to 74,684, 111,986.40 and 22,086.20

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Solution

The fourth proportional to 74,684, 111,986.40 and 22,086.20 is: 33,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,684 : 111,986.40 = 22,086.20 : x
  2. Step 2: Convert to fraction form
    74,684/111,986.40 = 22,086.20/x
  3. Step 3: Cross multiply
    74,684x = 111,986.40 × 22,086.20
  4. Step 4: Simplify right side
    74,684x = 2,473,354,027.68
  5. Step 5: Solve for x
    x = 2,473,354,027.68/74,684
  6. Step 6: Final answer
    x = 33,117.59

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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.