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Finding the Fourth Proportional to 196,989.60, 295,138.80 and 161,738.40

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Solution

The fourth proportional to 196,989.60, 295,138.80 and 161,738.40 is: 242,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,989.60 : 295,138.80 = 161,738.40 : x
  2. Step 2: Convert to fraction form
    196,989.60/295,138.80 = 161,738.40/x
  3. Step 3: Cross multiply
    196,989.60x = 295,138.80 × 161,738.40
  4. Step 4: Simplify right side
    196,989.60x = 47,735,277,289.92
  5. Step 5: Solve for x
    x = 47,735,277,289.92/196,989.60
  6. Step 6: Final answer
    x = 242,323.84

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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.