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Finding the Fourth Proportional to 198,256, 273,411.78 and 130,246

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Solution

The fourth proportional to 198,256, 273,411.78 and 130,246 is: 179,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,256 : 273,411.78 = 130,246 : x
  2. Step 2: Convert to fraction form
    198,256/273,411.78 = 130,246/x
  3. Step 3: Cross multiply
    198,256x = 273,411.78 × 130,246
  4. Step 4: Simplify right side
    198,256x = 35,610,790,697.88
  5. Step 5: Solve for x
    x = 35,610,790,697.88/198,256
  6. Step 6: Final answer
    x = 179,620.24

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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.