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Finding the Fourth Proportional to 213,873.80, 320,810.70 and 164,107.40

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Solution

The fourth proportional to 213,873.80, 320,810.70 and 164,107.40 is: 246,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,873.80 : 320,810.70 = 164,107.40 : x
  2. Step 2: Convert to fraction form
    213,873.80/320,810.70 = 164,107.40/x
  3. Step 3: Cross multiply
    213,873.80x = 320,810.70 × 164,107.40
  4. Step 4: Simplify right side
    213,873.80x = 52,647,409,869.18
  5. Step 5: Solve for x
    x = 52,647,409,869.18/213,873.80
  6. Step 6: Final answer
    x = 246,161.10

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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.