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Finding the Fourth Proportional to 189,221, 283,831.50 and 76,962.29

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Solution

The fourth proportional to 189,221, 283,831.50 and 76,962.29 is: 115,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,221 : 283,831.50 = 76,962.29 : x
  2. Step 2: Convert to fraction form
    189,221/283,831.50 = 76,962.29/x
  3. Step 3: Cross multiply
    189,221x = 283,831.50 × 76,962.29
  4. Step 4: Simplify right side
    189,221x = 21,844,322,214.14
  5. Step 5: Solve for x
    x = 21,844,322,214.14/189,221
  6. Step 6: Final answer
    x = 115,443.44

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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.