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Finding the Fourth Proportional to 131,647, 197,486.06 and 46,231.72

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Solution

The fourth proportional to 131,647, 197,486.06 and 46,231.72 is: 69,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,647 : 197,486.06 = 46,231.72 : x
  2. Step 2: Convert to fraction form
    131,647/197,486.06 = 46,231.72/x
  3. Step 3: Cross multiply
    131,647x = 197,486.06 × 46,231.72
  4. Step 4: Simplify right side
    131,647x = 9,130,120,229.82
  5. Step 5: Solve for x
    x = 9,130,120,229.82/131,647
  6. Step 6: Final answer
    x = 69,353.04

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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.