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Finding the Fourth Proportional to 208,570.78, 312,615.19 and 96,015

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Solution

The fourth proportional to 208,570.78, 312,615.19 and 96,015 is: 143,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,570.78 : 312,615.19 = 96,015 : x
  2. Step 2: Convert to fraction form
    208,570.78/312,615.19 = 96,015/x
  3. Step 3: Cross multiply
    208,570.78x = 312,615.19 × 96,015
  4. Step 4: Simplify right side
    208,570.78x = 30,015,747,467.85
  5. Step 5: Solve for x
    x = 30,015,747,467.85/208,570.78
  6. Step 6: Final answer
    x = 143,911.57

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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.