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Finding the Fourth Proportional to 217,749, 326,644.08 and 84,639.48

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Solution

The fourth proportional to 217,749, 326,644.08 and 84,639.48 is: 126,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,749 : 326,644.08 = 84,639.48 : x
  2. Step 2: Convert to fraction form
    217,749/326,644.08 = 84,639.48/x
  3. Step 3: Cross multiply
    217,749x = 326,644.08 × 84,639.48
  4. Step 4: Simplify right side
    217,749x = 27,646,985,076.28
  5. Step 5: Solve for x
    x = 27,646,985,076.28/217,749
  6. Step 6: Final answer
    x = 126,967.22

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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.