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Finding the Fourth Proportional to 128,974.10, 193,461.15 and 97,481.30

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Solution

The fourth proportional to 128,974.10, 193,461.15 and 97,481.30 is: 146,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,974.10 : 193,461.15 = 97,481.30 : x
  2. Step 2: Convert to fraction form
    128,974.10/193,461.15 = 97,481.30/x
  3. Step 3: Cross multiply
    128,974.10x = 193,461.15 × 97,481.30
  4. Step 4: Simplify right side
    128,974.10x = 18,858,844,401.50
  5. Step 5: Solve for x
    x = 18,858,844,401.50/128,974.10
  6. Step 6: Final answer
    x = 146,221.95

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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.