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Finding the Fourth Proportional to 64,656.36, 96,984.47 and 20,286.54

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Solution

The fourth proportional to 64,656.36, 96,984.47 and 20,286.54 is: 30,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,656.36 : 96,984.47 = 20,286.54 : x
  2. Step 2: Convert to fraction form
    64,656.36/96,984.47 = 20,286.54/x
  3. Step 3: Cross multiply
    64,656.36x = 96,984.47 × 20,286.54
  4. Step 4: Simplify right side
    64,656.36x = 1,967,479,228.60
  5. Step 5: Solve for x
    x = 1,967,479,228.60/64,656.36
  6. Step 6: Final answer
    x = 30,429.79

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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.