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Finding the Fourth Proportional to 209,212.36, 313,820.76 and 82,883.36

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Solution

The fourth proportional to 209,212.36, 313,820.76 and 82,883.36 is: 124,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,212.36 : 313,820.76 = 82,883.36 : x
  2. Step 2: Convert to fraction form
    209,212.36/313,820.76 = 82,883.36/x
  3. Step 3: Cross multiply
    209,212.36x = 313,820.76 × 82,883.36
  4. Step 4: Simplify right side
    209,212.36x = 26,010,519,026.55
  5. Step 5: Solve for x
    x = 26,010,519,026.55/209,212.36
  6. Step 6: Final answer
    x = 124,325.92

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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.