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Finding the Fourth Proportional to 69,856.22, 104,802.02 and 19,936.50

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Solution

The fourth proportional to 69,856.22, 104,802.02 and 19,936.50 is: 29,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,856.22 : 104,802.02 = 19,936.50 : x
  2. Step 2: Convert to fraction form
    69,856.22/104,802.02 = 19,936.50/x
  3. Step 3: Cross multiply
    69,856.22x = 104,802.02 × 19,936.50
  4. Step 4: Simplify right side
    69,856.22x = 2,089,385,372.05
  5. Step 5: Solve for x
    x = 2,089,385,372.05/69,856.22
  6. Step 6: Final answer
    x = 29,909.80

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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.