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Finding the Fourth Proportional to 213,199.48, 319,731.18 and 86,839.48

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Solution

The fourth proportional to 213,199.48, 319,731.18 and 86,839.48 is: 130,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,199.48 : 319,731.18 = 86,839.48 : x
  2. Step 2: Convert to fraction form
    213,199.48/319,731.18 = 86,839.48/x
  3. Step 3: Cross multiply
    213,199.48x = 319,731.18 × 86,839.48
  4. Step 4: Simplify right side
    213,199.48x = 27,765,289,410.99
  5. Step 5: Solve for x
    x = 27,765,289,410.99/213,199.48
  6. Step 6: Final answer
    x = 130,231.51

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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.