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Finding the Fourth Proportional to 34,161.24, 51,245.10 and 11,980.20

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Solution

The fourth proportional to 34,161.24, 51,245.10 and 11,980.20 is: 17,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,161.24 : 51,245.10 = 11,980.20 : x
  2. Step 2: Convert to fraction form
    34,161.24/51,245.10 = 11,980.20/x
  3. Step 3: Cross multiply
    34,161.24x = 51,245.10 × 11,980.20
  4. Step 4: Simplify right side
    34,161.24x = 613,926,547.02
  5. Step 5: Solve for x
    x = 613,926,547.02/34,161.24
  6. Step 6: Final answer
    x = 17,971.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.