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Finding the Fourth Proportional to 64,524.75, 96,783.67 and 20,146.42

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Solution

The fourth proportional to 64,524.75, 96,783.67 and 20,146.42 is: 30,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,524.75 : 96,783.67 = 20,146.42 : x
  2. Step 2: Convert to fraction form
    64,524.75/96,783.67 = 20,146.42/x
  3. Step 3: Cross multiply
    64,524.75x = 96,783.67 × 20,146.42
  4. Step 4: Simplify right side
    64,524.75x = 1,949,844,464.96
  5. Step 5: Solve for x
    x = 1,949,844,464.96/64,524.75
  6. Step 6: Final answer
    x = 30,218.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.