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Finding the Fourth Proportional to 130,766.40, 196,149.60 and 122,893.20

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Solution

The fourth proportional to 130,766.40, 196,149.60 and 122,893.20 is: 184,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,766.40 : 196,149.60 = 122,893.20 : x
  2. Step 2: Convert to fraction form
    130,766.40/196,149.60 = 122,893.20/x
  3. Step 3: Cross multiply
    130,766.40x = 196,149.60 × 122,893.20
  4. Step 4: Simplify right side
    130,766.40x = 24,105,452,022.72
  5. Step 5: Solve for x
    x = 24,105,452,022.72/130,766.40
  6. Step 6: Final answer
    x = 184,339.80

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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.