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Finding the Fourth Proportional to 207,791.86, 286,619.79 and 144,106.42

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Solution

The fourth proportional to 207,791.86, 286,619.79 and 144,106.42 is: 198,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,791.86 : 286,619.79 = 144,106.42 : x
  2. Step 2: Convert to fraction form
    207,791.86/286,619.79 = 144,106.42/x
  3. Step 3: Cross multiply
    207,791.86x = 286,619.79 × 144,106.42
  4. Step 4: Simplify right side
    207,791.86x = 41,303,751,661.90
  5. Step 5: Solve for x
    x = 41,303,751,661.90/207,791.86
  6. Step 6: Final answer
    x = 198,774.64

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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.