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Finding the Fourth Proportional to 277,731, 416,667.54 and 80,739

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Solution

The fourth proportional to 277,731, 416,667.54 and 80,739 is: 121,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,731 : 416,667.54 = 80,739 : x
  2. Step 2: Convert to fraction form
    277,731/416,667.54 = 80,739/x
  3. Step 3: Cross multiply
    277,731x = 416,667.54 × 80,739
  4. Step 4: Simplify right side
    277,731x = 33,641,320,512.06
  5. Step 5: Solve for x
    x = 33,641,320,512.06/277,731
  6. Step 6: Final answer
    x = 121,129.15

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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.