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Finding the Fourth Proportional to 64,216.62, 96,289.56 and 19,831.14

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Solution

The fourth proportional to 64,216.62, 96,289.56 and 19,831.14 is: 29,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,216.62 : 96,289.56 = 19,831.14 : x
  2. Step 2: Convert to fraction form
    64,216.62/96,289.56 = 19,831.14/x
  3. Step 3: Cross multiply
    64,216.62x = 96,289.56 × 19,831.14
  4. Step 4: Simplify right side
    64,216.62x = 1,909,531,744.90
  5. Step 5: Solve for x
    x = 1,909,531,744.90/64,216.62
  6. Step 6: Final answer
    x = 29,735.79

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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.