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Finding the Fourth Proportional to 143,006.75, 214,566.62 and 54,283.80

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Solution

The fourth proportional to 143,006.75, 214,566.62 and 54,283.80 is: 81,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,006.75 : 214,566.62 = 54,283.80 : x
  2. Step 2: Convert to fraction form
    143,006.75/214,566.62 = 54,283.80/x
  3. Step 3: Cross multiply
    143,006.75x = 214,566.62 × 54,283.80
  4. Step 4: Simplify right side
    143,006.75x = 11,647,491,486.76
  5. Step 5: Solve for x
    x = 11,647,491,486.76/143,006.75
  6. Step 6: Final answer
    x = 81,447.14

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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.