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Finding the Fourth Proportional to 64,674.25, 89,255.12 and 35,996.20

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Solution

The fourth proportional to 64,674.25, 89,255.12 and 35,996.20 is: 49,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,674.25 : 89,255.12 = 35,996.20 : x
  2. Step 2: Convert to fraction form
    64,674.25/89,255.12 = 35,996.20/x
  3. Step 3: Cross multiply
    64,674.25x = 89,255.12 × 35,996.20
  4. Step 4: Simplify right side
    64,674.25x = 3,212,844,747.43
  5. Step 5: Solve for x
    x = 3,212,844,747.43/64,674.25
  6. Step 6: Final answer
    x = 49,677.34

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1.5x scale

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.