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Finding the Fourth Proportional to 173,749, 239,772 and 98,297.50

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Solution

The fourth proportional to 173,749, 239,772 and 98,297.50 is: 135,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,749 : 239,772 = 98,297.50 : x
  2. Step 2: Convert to fraction form
    173,749/239,772 = 98,297.50/x
  3. Step 3: Cross multiply
    173,749x = 239,772 × 98,297.50
  4. Step 4: Simplify right side
    173,749x = 23,568,988,170
  5. Step 5: Solve for x
    x = 23,568,988,170/173,749
  6. Step 6: Final answer
    x = 135,649.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.