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Finding the Fourth Proportional to 84,659.73, 116,734.61 and 53,991.78

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Solution

The fourth proportional to 84,659.73, 116,734.61 and 53,991.78 is: 74,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,659.73 : 116,734.61 = 53,991.78 : x
  2. Step 2: Convert to fraction form
    84,659.73/116,734.61 = 53,991.78/x
  3. Step 3: Cross multiply
    84,659.73x = 116,734.61 × 53,991.78
  4. Step 4: Simplify right side
    84,659.73x = 6,302,709,111.55
  5. Step 5: Solve for x
    x = 6,302,709,111.55/84,659.73
  6. Step 6: Final answer
    x = 74,447.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.