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Finding the Fourth Proportional to 70,450.72, 105,645.36 and 26,644

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Solution

The fourth proportional to 70,450.72, 105,645.36 and 26,644 is: 39,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,450.72 : 105,645.36 = 26,644 : x
  2. Step 2: Convert to fraction form
    70,450.72/105,645.36 = 26,644/x
  3. Step 3: Cross multiply
    70,450.72x = 105,645.36 × 26,644
  4. Step 4: Simplify right side
    70,450.72x = 2,814,814,971.84
  5. Step 5: Solve for x
    x = 2,814,814,971.84/70,450.72
  6. Step 6: Final answer
    x = 39,954.38

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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.