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Finding the Fourth Proportional to 94,144, 129,930.24 and 54,400

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Solution

The fourth proportional to 94,144, 129,930.24 and 54,400 is: 75,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,144 : 129,930.24 = 54,400 : x
  2. Step 2: Convert to fraction form
    94,144/129,930.24 = 54,400/x
  3. Step 3: Cross multiply
    94,144x = 129,930.24 × 54,400
  4. Step 4: Simplify right side
    94,144x = 7,068,205,056
  5. Step 5: Solve for x
    x = 7,068,205,056/94,144
  6. Step 6: Final answer
    x = 75,078.66

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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.