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Finding the Fourth Proportional to 71,994.43, 107,984.35 and 19,409.23

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Solution

The fourth proportional to 71,994.43, 107,984.35 and 19,409.23 is: 29,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,994.43 : 107,984.35 = 19,409.23 : x
  2. Step 2: Convert to fraction form
    71,994.43/107,984.35 = 19,409.23/x
  3. Step 3: Cross multiply
    71,994.43x = 107,984.35 × 19,409.23
  4. Step 4: Simplify right side
    71,994.43x = 2,095,893,158.34
  5. Step 5: Solve for x
    x = 2,095,893,158.34/71,994.43
  6. Step 6: Final answer
    x = 29,111.88

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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.