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Finding the Fourth Proportional to 109,893.49, 164,719.13 and 71,897.09

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Solution

The fourth proportional to 109,893.49, 164,719.13 and 71,897.09 is: 107,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,893.49 : 164,719.13 = 71,897.09 : x
  2. Step 2: Convert to fraction form
    109,893.49/164,719.13 = 71,897.09/x
  3. Step 3: Cross multiply
    109,893.49x = 164,719.13 × 71,897.09
  4. Step 4: Simplify right side
    109,893.49x = 11,842,826,705.87
  5. Step 5: Solve for x
    x = 11,842,826,705.87/109,893.49
  6. Step 6: Final answer
    x = 107,766.41

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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.