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Finding the Fourth Proportional to 213,059.31, 319,576.44 and 79,928.42

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Solution

The fourth proportional to 213,059.31, 319,576.44 and 79,928.42 is: 119,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,059.31 : 319,576.44 = 79,928.42 : x
  2. Step 2: Convert to fraction form
    213,059.31/319,576.44 = 79,928.42/x
  3. Step 3: Cross multiply
    213,059.31x = 319,576.44 × 79,928.42
  4. Step 4: Simplify right side
    213,059.31x = 25,543,239,968.29
  5. Step 5: Solve for x
    x = 25,543,239,968.29/213,059.31
  6. Step 6: Final answer
    x = 119,887.93

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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.