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Finding the Fourth Proportional to 109,914.35, 164,871.80 and 31,028.54

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Solution

The fourth proportional to 109,914.35, 164,871.80 and 31,028.54 is: 46,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,914.35 : 164,871.80 = 31,028.54 : x
  2. Step 2: Convert to fraction form
    109,914.35/164,871.80 = 31,028.54/x
  3. Step 3: Cross multiply
    109,914.35x = 164,871.80 × 31,028.54
  4. Step 4: Simplify right side
    109,914.35x = 5,115,731,241.17
  5. Step 5: Solve for x
    x = 5,115,731,241.17/109,914.35
  6. Step 6: Final answer
    x = 46,542.89

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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.