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Finding the Fourth Proportional to 70,971.11, 106,438.49 and 21,039.53

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Solution

The fourth proportional to 70,971.11, 106,438.49 and 21,039.53 is: 31,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.11 : 106,438.49 = 21,039.53 : x
  2. Step 2: Convert to fraction form
    70,971.11/106,438.49 = 21,039.53/x
  3. Step 3: Cross multiply
    70,971.11x = 106,438.49 × 21,039.53
  4. Step 4: Simplify right side
    70,971.11x = 2,239,415,698.31
  5. Step 5: Solve for x
    x = 2,239,415,698.31/70,971.11
  6. Step 6: Final answer
    x = 31,553.91

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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.