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Finding the Fourth Proportional to 64,562, 89,100.42 and 39,416.36

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Solution

The fourth proportional to 64,562, 89,100.42 and 39,416.36 is: 54,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,562 : 89,100.42 = 39,416.36 : x
  2. Step 2: Convert to fraction form
    64,562/89,100.42 = 39,416.36/x
  3. Step 3: Cross multiply
    64,562x = 89,100.42 × 39,416.36
  4. Step 4: Simplify right side
    64,562x = 3,512,014,230.87
  5. Step 5: Solve for x
    x = 3,512,014,230.87/64,562
  6. Step 6: Final answer
    x = 54,397.54

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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.