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Finding the Fourth Proportional to 133,161.96, 199,354.75 and 69,831.91

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Solution

The fourth proportional to 133,161.96, 199,354.75 and 69,831.91 is: 104,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,161.96 : 199,354.75 = 69,831.91 : x
  2. Step 2: Convert to fraction form
    133,161.96/199,354.75 = 69,831.91/x
  3. Step 3: Cross multiply
    133,161.96x = 199,354.75 × 69,831.91
  4. Step 4: Simplify right side
    133,161.96x = 13,921,322,960.07
  5. Step 5: Solve for x
    x = 13,921,322,960.07/133,161.96
  6. Step 6: Final answer
    x = 104,544.29

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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.