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Finding the Fourth Proportional to 140,469.80, 194,004.81 and 129,840.98

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Solution

The fourth proportional to 140,469.80, 194,004.81 and 129,840.98 is: 179,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,469.80 : 194,004.81 = 129,840.98 : x
  2. Step 2: Convert to fraction form
    140,469.80/194,004.81 = 129,840.98/x
  3. Step 3: Cross multiply
    140,469.80x = 194,004.81 × 129,840.98
  4. Step 4: Simplify right side
    140,469.80x = 25,189,775,139.42
  5. Step 5: Solve for x
    x = 25,189,775,139.42/140,469.80
  6. Step 6: Final answer
    x = 179,325.20

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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.