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Finding the Fourth Proportional to 197,288, 272,258.40 and 107,864

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Solution

The fourth proportional to 197,288, 272,258.40 and 107,864 is: 148,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,288 : 272,258.40 = 107,864 : x
  2. Step 2: Convert to fraction form
    197,288/272,258.40 = 107,864/x
  3. Step 3: Cross multiply
    197,288x = 272,258.40 × 107,864
  4. Step 4: Simplify right side
    197,288x = 29,366,880,057.60
  5. Step 5: Solve for x
    x = 29,366,880,057.60/197,288
  6. Step 6: Final answer
    x = 148,852.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.