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Finding the Fourth Proportional to 70,970.98, 106,438.31 and 21,039.41

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Solution

The fourth proportional to 70,970.98, 106,438.31 and 21,039.41 is: 31,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.98 : 106,438.31 = 21,039.41 : x
  2. Step 2: Convert to fraction form
    70,970.98/106,438.31 = 21,039.41/x
  3. Step 3: Cross multiply
    70,970.98x = 106,438.31 × 21,039.41
  4. Step 4: Simplify right side
    70,970.98x = 2,239,399,243.80
  5. Step 5: Solve for x
    x = 2,239,399,243.80/70,970.98
  6. Step 6: Final answer
    x = 31,553.73

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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.