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Finding the Fourth Proportional to 74,264.96, 111,402.24 and 21,670

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Solution

The fourth proportional to 74,264.96, 111,402.24 and 21,670 is: 32,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,264.96 : 111,402.24 = 21,670 : x
  2. Step 2: Convert to fraction form
    74,264.96/111,402.24 = 21,670/x
  3. Step 3: Cross multiply
    74,264.96x = 111,402.24 × 21,670
  4. Step 4: Simplify right side
    74,264.96x = 2,414,086,540.80
  5. Step 5: Solve for x
    x = 2,414,086,540.80/74,264.96
  6. Step 6: Final answer
    x = 32,506.40

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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.