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Finding the Fourth Proportional to 217,771.66, 326,742 and 84,745.36

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Solution

The fourth proportional to 217,771.66, 326,742 and 84,745.36 is: 127,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,771.66 : 326,742 = 84,745.36 : x
  2. Step 2: Convert to fraction form
    217,771.66/326,742 = 84,745.36/x
  3. Step 3: Cross multiply
    217,771.66x = 326,742 × 84,745.36
  4. Step 4: Simplify right side
    217,771.66x = 27,689,868,417.12
  5. Step 5: Solve for x
    x = 27,689,868,417.12/217,771.66
  6. Step 6: Final answer
    x = 127,150.93

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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.