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Finding the Fourth Proportional to 128,954.41, 193,369.40 and 54,054.44

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Solution

The fourth proportional to 128,954.41, 193,369.40 and 54,054.44 is: 81,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,954.41 : 193,369.40 = 54,054.44 : x
  2. Step 2: Convert to fraction form
    128,954.41/193,369.40 = 54,054.44/x
  3. Step 3: Cross multiply
    128,954.41x = 193,369.40 × 54,054.44
  4. Step 4: Simplify right side
    128,954.41x = 10,452,474,630.14
  5. Step 5: Solve for x
    x = 10,452,474,630.14/128,954.41
  6. Step 6: Final answer
    x = 81,055.58

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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.