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Finding the Fourth Proportional to 213,280.73, 319,675.01 and 80,076.02

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Solution

The fourth proportional to 213,280.73, 319,675.01 and 80,076.02 is: 120,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,280.73 : 319,675.01 = 80,076.02 : x
  2. Step 2: Convert to fraction form
    213,280.73/319,675.01 = 80,076.02/x
  3. Step 3: Cross multiply
    213,280.73x = 319,675.01 × 80,076.02
  4. Step 4: Simplify right side
    213,280.73x = 25,598,302,893.07
  5. Step 5: Solve for x
    x = 25,598,302,893.07/213,280.73
  6. Step 6: Final answer
    x = 120,021.64

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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.