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Finding the Fourth Proportional to 194,452.80, 291,794.40 and 141,729.60

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Solution

The fourth proportional to 194,452.80, 291,794.40 and 141,729.60 is: 212,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,452.80 : 291,794.40 = 141,729.60 : x
  2. Step 2: Convert to fraction form
    194,452.80/291,794.40 = 141,729.60/x
  3. Step 3: Cross multiply
    194,452.80x = 291,794.40 × 141,729.60
  4. Step 4: Simplify right side
    194,452.80x = 41,355,903,594.24
  5. Step 5: Solve for x
    x = 41,355,903,594.24/194,452.80
  6. Step 6: Final answer
    x = 212,678.37

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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.