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Finding the Fourth Proportional to 90,900, 125,442 and 53,181.54

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Solution

The fourth proportional to 90,900, 125,442 and 53,181.54 is: 73,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,900 : 125,442 = 53,181.54 : x
  2. Step 2: Convert to fraction form
    90,900/125,442 = 53,181.54/x
  3. Step 3: Cross multiply
    90,900x = 125,442 × 53,181.54
  4. Step 4: Simplify right side
    90,900x = 6,671,198,740.68
  5. Step 5: Solve for x
    x = 6,671,198,740.68/90,900
  6. Step 6: Final answer
    x = 73,390.53

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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.