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Finding the Fourth Proportional to 248,301, 372,509.82 and 82,089

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Solution

The fourth proportional to 248,301, 372,509.82 and 82,089 is: 123,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,301 : 372,509.82 = 82,089 : x
  2. Step 2: Convert to fraction form
    248,301/372,509.82 = 82,089/x
  3. Step 3: Cross multiply
    248,301x = 372,509.82 × 82,089
  4. Step 4: Simplify right side
    248,301x = 30,578,958,613.98
  5. Step 5: Solve for x
    x = 30,578,958,613.98/248,301
  6. Step 6: Final answer
    x = 123,152.78

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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.