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Finding the Fourth Proportional to 198,258.64, 297,388.37 and 139,357.87

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Solution

The fourth proportional to 198,258.64, 297,388.37 and 139,357.87 is: 209,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,258.64 : 297,388.37 = 139,357.87 : x
  2. Step 2: Convert to fraction form
    198,258.64/297,388.37 = 139,357.87/x
  3. Step 3: Cross multiply
    198,258.64x = 297,388.37 × 139,357.87
  4. Step 4: Simplify right side
    198,258.64x = 41,443,409,805.97
  5. Step 5: Solve for x
    x = 41,443,409,805.97/198,258.64
  6. Step 6: Final answer
    x = 209,037.09

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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.