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Finding the Fourth Proportional to 213,465.40, 320,161.66 and 71,291

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Solution

The fourth proportional to 213,465.40, 320,161.66 and 71,291 is: 106,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,465.40 : 320,161.66 = 71,291 : x
  2. Step 2: Convert to fraction form
    213,465.40/320,161.66 = 71,291/x
  3. Step 3: Cross multiply
    213,465.40x = 320,161.66 × 71,291
  4. Step 4: Simplify right side
    213,465.40x = 22,824,644,903.06
  5. Step 5: Solve for x
    x = 22,824,644,903.06/213,465.40
  6. Step 6: Final answer
    x = 106,924.33

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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.