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Finding the Fourth Proportional to 70,736.88, 106,109.82 and 20,816.04

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Solution

The fourth proportional to 70,736.88, 106,109.82 and 20,816.04 is: 31,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,736.88 : 106,109.82 = 20,816.04 : x
  2. Step 2: Convert to fraction form
    70,736.88/106,109.82 = 20,816.04/x
  3. Step 3: Cross multiply
    70,736.88x = 106,109.82 × 20,816.04
  4. Step 4: Simplify right side
    70,736.88x = 2,208,786,257.51
  5. Step 5: Solve for x
    x = 2,208,786,257.51/70,736.88
  6. Step 6: Final answer
    x = 31,225.38

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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.