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Finding the Fourth Proportional to 209,908.82, 314,707.71 and 126,783.38

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Solution

The fourth proportional to 209,908.82, 314,707.71 and 126,783.38 is: 190,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,908.82 : 314,707.71 = 126,783.38 : x
  2. Step 2: Convert to fraction form
    209,908.82/314,707.71 = 126,783.38/x
  3. Step 3: Cross multiply
    209,908.82x = 314,707.71 × 126,783.38
  4. Step 4: Simplify right side
    209,908.82x = 39,899,707,185.86
  5. Step 5: Solve for x
    x = 39,899,707,185.86/209,908.82
  6. Step 6: Final answer
    x = 190,081.14

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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.