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Finding the Fourth Proportional to 71,994.74, 107,984.82 and 19,409.54

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Solution

The fourth proportional to 71,994.74, 107,984.82 and 19,409.54 is: 29,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,994.74 : 107,984.82 = 19,409.54 : x
  2. Step 2: Convert to fraction form
    71,994.74/107,984.82 = 19,409.54/x
  3. Step 3: Cross multiply
    71,994.74x = 107,984.82 × 19,409.54
  4. Step 4: Simplify right side
    71,994.74x = 2,095,936,001.67
  5. Step 5: Solve for x
    x = 2,095,936,001.67/71,994.74
  6. Step 6: Final answer
    x = 29,112.35

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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.