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Finding the Fourth Proportional to 71,809.56, 107,730.32 and 21,893.54

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Solution

The fourth proportional to 71,809.56, 107,730.32 and 21,893.54 is: 32,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,809.56 : 107,730.32 = 21,893.54 : x
  2. Step 2: Convert to fraction form
    71,809.56/107,730.32 = 21,893.54/x
  3. Step 3: Cross multiply
    71,809.56x = 107,730.32 × 21,893.54
  4. Step 4: Simplify right side
    71,809.56x = 2,358,598,070.13
  5. Step 5: Solve for x
    x = 2,358,598,070.13/71,809.56
  6. Step 6: Final answer
    x = 32,845.18

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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.