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Finding the Fourth Proportional to 70,939.43, 106,424.71 and 21,023.44

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Solution

The fourth proportional to 70,939.43, 106,424.71 and 21,023.44 is: 31,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,939.43 : 106,424.71 = 21,023.44 : x
  2. Step 2: Convert to fraction form
    70,939.43/106,424.71 = 21,023.44/x
  3. Step 3: Cross multiply
    70,939.43x = 106,424.71 × 21,023.44
  4. Step 4: Simplify right side
    70,939.43x = 2,237,413,505.20
  5. Step 5: Solve for x
    x = 2,237,413,505.20/70,939.43
  6. Step 6: Final answer
    x = 31,539.77

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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.