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Finding the Fourth Proportional to 205,121, 283,076.70 and 115,697

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Solution

The fourth proportional to 205,121, 283,076.70 and 115,697 is: 159,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,121 : 283,076.70 = 115,697 : x
  2. Step 2: Convert to fraction form
    205,121/283,076.70 = 115,697/x
  3. Step 3: Cross multiply
    205,121x = 283,076.70 × 115,697
  4. Step 4: Simplify right side
    205,121x = 32,751,124,959.90
  5. Step 5: Solve for x
    x = 32,751,124,959.90/205,121
  6. Step 6: Final answer
    x = 159,667.34

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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.