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Finding the Fourth Proportional to 79,198, 109,290.04 and 47,384.40

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Solution

The fourth proportional to 79,198, 109,290.04 and 47,384.40 is: 65,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,198 : 109,290.04 = 47,384.40 : x
  2. Step 2: Convert to fraction form
    79,198/109,290.04 = 47,384.40/x
  3. Step 3: Cross multiply
    79,198x = 109,290.04 × 47,384.40
  4. Step 4: Simplify right side
    79,198x = 5,178,642,971.38
  5. Step 5: Solve for x
    x = 5,178,642,971.38/79,198
  6. Step 6: Final answer
    x = 65,388.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.