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Finding the Fourth Proportional to 64,536.25, 89,021.41 and 40,621.41

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Solution

The fourth proportional to 64,536.25, 89,021.41 and 40,621.41 is: 56,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,536.25 : 89,021.41 = 40,621.41 : x
  2. Step 2: Convert to fraction form
    64,536.25/89,021.41 = 40,621.41/x
  3. Step 3: Cross multiply
    64,536.25x = 89,021.41 × 40,621.41
  4. Step 4: Simplify right side
    64,536.25x = 3,616,175,194.39
  5. Step 5: Solve for x
    x = 3,616,175,194.39/64,536.25
  6. Step 6: Final answer
    x = 56,033.24

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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.