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Finding the Fourth Proportional to 211,074.40, 315,920.40 and 164,072.80

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Solution

The fourth proportional to 211,074.40, 315,920.40 and 164,072.80 is: 245,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,074.40 : 315,920.40 = 164,072.80 : x
  2. Step 2: Convert to fraction form
    211,074.40/315,920.40 = 164,072.80/x
  3. Step 3: Cross multiply
    211,074.40x = 315,920.40 × 164,072.80
  4. Step 4: Simplify right side
    211,074.40x = 51,833,944,605.12
  5. Step 5: Solve for x
    x = 51,833,944,605.12/211,074.40
  6. Step 6: Final answer
    x = 245,571.91

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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.