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Finding the Fourth Proportional to 210,504.66, 315,908.26 and 84,072.44

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Solution

The fourth proportional to 210,504.66, 315,908.26 and 84,072.44 is: 126,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,504.66 : 315,908.26 = 84,072.44 : x
  2. Step 2: Convert to fraction form
    210,504.66/315,908.26 = 84,072.44/x
  3. Step 3: Cross multiply
    210,504.66x = 315,908.26 × 84,072.44
  4. Step 4: Simplify right side
    210,504.66x = 26,559,178,234.35
  5. Step 5: Solve for x
    x = 26,559,178,234.35/210,504.66
  6. Step 6: Final answer
    x = 126,169.07

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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.