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Finding the Fourth Proportional to 208,735.32, 313,148.36 and 68,488.68

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Solution

The fourth proportional to 208,735.32, 313,148.36 and 68,488.68 is: 102,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,735.32 : 313,148.36 = 68,488.68 : x
  2. Step 2: Convert to fraction form
    208,735.32/313,148.36 = 68,488.68/x
  3. Step 3: Cross multiply
    208,735.32x = 313,148.36 × 68,488.68
  4. Step 4: Simplify right side
    208,735.32x = 21,447,117,820.56
  5. Step 5: Solve for x
    x = 21,447,117,820.56/208,735.32
  6. Step 6: Final answer
    x = 102,747.91

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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.