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Finding the Fourth Proportional to 208,698.68, 312,982.32 and 68,424.50

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Solution

The fourth proportional to 208,698.68, 312,982.32 and 68,424.50 is: 102,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,698.68 : 312,982.32 = 68,424.50 : x
  2. Step 2: Convert to fraction form
    208,698.68/312,982.32 = 68,424.50/x
  3. Step 3: Cross multiply
    208,698.68x = 312,982.32 × 68,424.50
  4. Step 4: Simplify right side
    208,698.68x = 21,415,658,754.84
  5. Step 5: Solve for x
    x = 21,415,658,754.84/208,698.68
  6. Step 6: Final answer
    x = 102,615.21

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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.