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Finding the Fourth Proportional to 217,674.54, 326,511.81 and 77,434.38

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Solution

The fourth proportional to 217,674.54, 326,511.81 and 77,434.38 is: 116,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,674.54 : 326,511.81 = 77,434.38 : x
  2. Step 2: Convert to fraction form
    217,674.54/326,511.81 = 77,434.38/x
  3. Step 3: Cross multiply
    217,674.54x = 326,511.81 × 77,434.38
  4. Step 4: Simplify right side
    217,674.54x = 25,283,239,570.03
  5. Step 5: Solve for x
    x = 25,283,239,570.03/217,674.54
  6. Step 6: Final answer
    x = 116,151.57

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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.