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Finding the Fourth Proportional to 81,273.16, 111,907.74 and 71,144.92

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Solution

The fourth proportional to 81,273.16, 111,907.74 and 71,144.92 is: 97,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,273.16 : 111,907.74 = 71,144.92 : x
  2. Step 2: Convert to fraction form
    81,273.16/111,907.74 = 71,144.92/x
  3. Step 3: Cross multiply
    81,273.16x = 111,907.74 × 71,144.92
  4. Step 4: Simplify right side
    81,273.16x = 7,961,667,209.68
  5. Step 5: Solve for x
    x = 7,961,667,209.68/81,273.16
  6. Step 6: Final answer
    x = 97,961.83

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1.5x scale

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.