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Finding the Fourth Proportional to 70,938.43, 106,423.21 and 21,022.44

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Solution

The fourth proportional to 70,938.43, 106,423.21 and 21,022.44 is: 31,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,938.43 : 106,423.21 = 21,022.44 : x
  2. Step 2: Convert to fraction form
    70,938.43/106,423.21 = 21,022.44/x
  3. Step 3: Cross multiply
    70,938.43x = 106,423.21 × 21,022.44
  4. Step 4: Simplify right side
    70,938.43x = 2,237,275,174.02
  5. Step 5: Solve for x
    x = 2,237,275,174.02/70,938.43
  6. Step 6: Final answer
    x = 31,538.27

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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.