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Finding the Fourth Proportional to 153,016.74, 211,164.27 and 85,040.09

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Solution

The fourth proportional to 153,016.74, 211,164.27 and 85,040.09 is: 117,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,016.74 : 211,164.27 = 85,040.09 : x
  2. Step 2: Convert to fraction form
    153,016.74/211,164.27 = 85,040.09/x
  3. Step 3: Cross multiply
    153,016.74x = 211,164.27 × 85,040.09
  4. Step 4: Simplify right side
    153,016.74x = 17,957,427,942.73
  5. Step 5: Solve for x
    x = 17,957,427,942.73/153,016.74
  6. Step 6: Final answer
    x = 117,355.97

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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.