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Finding the Fourth Proportional to 275,239.31, 412,759.91 and 95,275.84

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Solution

The fourth proportional to 275,239.31, 412,759.91 and 95,275.84 is: 142,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,239.31 : 412,759.91 = 95,275.84 : x
  2. Step 2: Convert to fraction form
    275,239.31/412,759.91 = 95,275.84/x
  3. Step 3: Cross multiply
    275,239.31x = 412,759.91 × 95,275.84
  4. Step 4: Simplify right side
    275,239.31x = 39,326,047,123.79
  5. Step 5: Solve for x
    x = 39,326,047,123.79/275,239.31
  6. Step 6: Final answer
    x = 142,879.47

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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.