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Finding the Fourth Proportional to 66,519.90, 99,777.06 and 30,969

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Solution

The fourth proportional to 66,519.90, 99,777.06 and 30,969 is: 46,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,519.90 : 99,777.06 = 30,969 : x
  2. Step 2: Convert to fraction form
    66,519.90/99,777.06 = 30,969/x
  3. Step 3: Cross multiply
    66,519.90x = 99,777.06 × 30,969
  4. Step 4: Simplify right side
    66,519.90x = 3,089,995,771.14
  5. Step 5: Solve for x
    x = 3,089,995,771.14/66,519.90
  6. Step 6: Final answer
    x = 46,452.20

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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.