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Finding the Fourth Proportional to 70,971.36, 106,438.88 and 21,039.78

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Solution

The fourth proportional to 70,971.36, 106,438.88 and 21,039.78 is: 31,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.36 : 106,438.88 = 21,039.78 : x
  2. Step 2: Convert to fraction form
    70,971.36/106,438.88 = 21,039.78/x
  3. Step 3: Cross multiply
    70,971.36x = 106,438.88 × 21,039.78
  4. Step 4: Simplify right side
    70,971.36x = 2,239,450,513.45
  5. Step 5: Solve for x
    x = 2,239,450,513.45/70,971.36
  6. Step 6: Final answer
    x = 31,554.28

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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.