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Finding the Fourth Proportional to 211,602, 292,010.81 and 120,959.97

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Solution

The fourth proportional to 211,602, 292,010.81 and 120,959.97 is: 166,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,602 : 292,010.81 = 120,959.97 : x
  2. Step 2: Convert to fraction form
    211,602/292,010.81 = 120,959.97/x
  3. Step 3: Cross multiply
    211,602x = 292,010.81 × 120,959.97
  4. Step 4: Simplify right side
    211,602x = 35,321,618,212.48
  5. Step 5: Solve for x
    x = 35,321,618,212.48/211,602
  6. Step 6: Final answer
    x = 166,924.78

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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.