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Finding the Fourth Proportional to 64,566, 89,105.94 and 39,420.36

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Solution

The fourth proportional to 64,566, 89,105.94 and 39,420.36 is: 54,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,566 : 89,105.94 = 39,420.36 : x
  2. Step 2: Convert to fraction form
    64,566/89,105.94 = 39,420.36/x
  3. Step 3: Cross multiply
    64,566x = 89,105.94 × 39,420.36
  4. Step 4: Simplify right side
    64,566x = 3,512,588,232.94
  5. Step 5: Solve for x
    x = 3,512,588,232.94/64,566
  6. Step 6: Final answer
    x = 54,403.06

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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.