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Finding the Fourth Proportional to 64,871.54, 89,524.30 and 36,191

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Solution

The fourth proportional to 64,871.54, 89,524.30 and 36,191 is: 49,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,871.54 : 89,524.30 = 36,191 : x
  2. Step 2: Convert to fraction form
    64,871.54/89,524.30 = 36,191/x
  3. Step 3: Cross multiply
    64,871.54x = 89,524.30 × 36,191
  4. Step 4: Simplify right side
    64,871.54x = 3,239,973,941.30
  5. Step 5: Solve for x
    x = 3,239,973,941.30/64,871.54
  6. Step 6: Final answer
    x = 49,944.46

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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.