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Finding the Fourth Proportional to 81,294.51, 121,911.49 and 27,971.60

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Solution

The fourth proportional to 81,294.51, 121,911.49 and 27,971.60 is: 41,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,294.51 : 121,911.49 = 27,971.60 : x
  2. Step 2: Convert to fraction form
    81,294.51/121,911.49 = 27,971.60/x
  3. Step 3: Cross multiply
    81,294.51x = 121,911.49 × 27,971.60
  4. Step 4: Simplify right side
    81,294.51x = 3,410,059,293.83
  5. Step 5: Solve for x
    x = 3,410,059,293.83/81,294.51
  6. Step 6: Final answer
    x = 41,946.98

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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.