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Finding the Fourth Proportional to 208,281.44, 312,211.80 and 82,010.30

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Solution

The fourth proportional to 208,281.44, 312,211.80 and 82,010.30 is: 122,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281.44 : 312,211.80 = 82,010.30 : x
  2. Step 2: Convert to fraction form
    208,281.44/312,211.80 = 82,010.30/x
  3. Step 3: Cross multiply
    208,281.44x = 312,211.80 × 82,010.30
  4. Step 4: Simplify right side
    208,281.44x = 25,604,583,381.54
  5. Step 5: Solve for x
    x = 25,604,583,381.54/208,281.44
  6. Step 6: Final answer
    x = 122,932.62

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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.