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Finding the Fourth Proportional to 148,676.64, 205,172 and 80,693.72

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Solution

The fourth proportional to 148,676.64, 205,172 and 80,693.72 is: 111,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,676.64 : 205,172 = 80,693.72 : x
  2. Step 2: Convert to fraction form
    148,676.64/205,172 = 80,693.72/x
  3. Step 3: Cross multiply
    148,676.64x = 205,172 × 80,693.72
  4. Step 4: Simplify right side
    148,676.64x = 16,556,091,919.84
  5. Step 5: Solve for x
    x = 16,556,091,919.84/148,676.64
  6. Step 6: Final answer
    x = 111,356.38

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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.