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Finding the Fourth Proportional to 64,634.85, 89,203.05 and 37,786.41

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Solution

The fourth proportional to 64,634.85, 89,203.05 and 37,786.41 is: 52,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,634.85 : 89,203.05 = 37,786.41 : x
  2. Step 2: Convert to fraction form
    64,634.85/89,203.05 = 37,786.41/x
  3. Step 3: Cross multiply
    64,634.85x = 89,203.05 × 37,786.41
  4. Step 4: Simplify right side
    64,634.85x = 3,370,663,020.55
  5. Step 5: Solve for x
    x = 3,370,663,020.55/64,634.85
  6. Step 6: Final answer
    x = 52,149.31

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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.