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Finding the Fourth Proportional to 202,007.97, 278,771.85 and 111,361.86

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Solution

The fourth proportional to 202,007.97, 278,771.85 and 111,361.86 is: 153,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,007.97 : 278,771.85 = 111,361.86 : x
  2. Step 2: Convert to fraction form
    202,007.97/278,771.85 = 111,361.86/x
  3. Step 3: Cross multiply
    202,007.97x = 278,771.85 × 111,361.86
  4. Step 4: Simplify right side
    202,007.97x = 31,044,551,731.64
  5. Step 5: Solve for x
    x = 31,044,551,731.64/202,007.97
  6. Step 6: Final answer
    x = 153,679.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.