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Finding the Fourth Proportional to 197,829, 273,004.02 and 108,405

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Solution

The fourth proportional to 197,829, 273,004.02 and 108,405 is: 149,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,829 : 273,004.02 = 108,405 : x
  2. Step 2: Convert to fraction form
    197,829/273,004.02 = 108,405/x
  3. Step 3: Cross multiply
    197,829x = 273,004.02 × 108,405
  4. Step 4: Simplify right side
    197,829x = 29,595,000,788.10
  5. Step 5: Solve for x
    x = 29,595,000,788.10/197,829
  6. Step 6: Final answer
    x = 149,598.90

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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.