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Finding the Fourth Proportional to 213,242.37, 319,950.56 and 137,380.56

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Solution

The fourth proportional to 213,242.37, 319,950.56 and 137,380.56 is: 206,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,242.37 : 319,950.56 = 137,380.56 : x
  2. Step 2: Convert to fraction form
    213,242.37/319,950.56 = 137,380.56/x
  3. Step 3: Cross multiply
    213,242.37x = 319,950.56 × 137,380.56
  4. Step 4: Simplify right side
    213,242.37x = 43,954,987,105.11
  5. Step 5: Solve for x
    x = 43,954,987,105.11/213,242.37
  6. Step 6: Final answer
    x = 206,126.89

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1.5x scale

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.