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Finding the Fourth Proportional to 197,872, 273,080.64 and 108,465.28

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Solution

The fourth proportional to 197,872, 273,080.64 and 108,465.28 is: 149,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,872 : 273,080.64 = 108,465.28 : x
  2. Step 2: Convert to fraction form
    197,872/273,080.64 = 108,465.28/x
  3. Step 3: Cross multiply
    197,872x = 273,080.64 × 108,465.28
  4. Step 4: Simplify right side
    197,872x = 29,619,768,080.18
  5. Step 5: Solve for x
    x = 29,619,768,080.18/197,872
  6. Step 6: Final answer
    x = 149,691.56

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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.