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Finding the Fourth Proportional to 117,666.54, 162,297.78 and 77,367.42

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Solution

The fourth proportional to 117,666.54, 162,297.78 and 77,367.42 is: 106,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,666.54 : 162,297.78 = 77,367.42 : x
  2. Step 2: Convert to fraction form
    117,666.54/162,297.78 = 77,367.42/x
  3. Step 3: Cross multiply
    117,666.54x = 162,297.78 × 77,367.42
  4. Step 4: Simplify right side
    117,666.54x = 12,556,560,510.33
  5. Step 5: Solve for x
    x = 12,556,560,510.33/117,666.54
  6. Step 6: Final answer
    x = 106,713.09

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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.