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Finding the Fourth Proportional to 149,168.14, 205,800.08 and 84,629.78

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Solution

The fourth proportional to 149,168.14, 205,800.08 and 84,629.78 is: 116,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,168.14 : 205,800.08 = 84,629.78 : x
  2. Step 2: Convert to fraction form
    149,168.14/205,800.08 = 84,629.78/x
  3. Step 3: Cross multiply
    149,168.14x = 205,800.08 × 84,629.78
  4. Step 4: Simplify right side
    149,168.14x = 17,416,815,494.38
  5. Step 5: Solve for x
    x = 17,416,815,494.38/149,168.14
  6. Step 6: Final answer
    x = 116,759.62

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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.