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Finding the Fourth Proportional to 209,908.41, 314,772.90 and 79,992.10

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Solution

The fourth proportional to 209,908.41, 314,772.90 and 79,992.10 is: 119,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,908.41 : 314,772.90 = 79,992.10 : x
  2. Step 2: Convert to fraction form
    209,908.41/314,772.90 = 79,992.10/x
  3. Step 3: Cross multiply
    209,908.41x = 314,772.90 × 79,992.10
  4. Step 4: Simplify right side
    209,908.41x = 25,179,345,294.09
  5. Step 5: Solve for x
    x = 25,179,345,294.09/209,908.41
  6. Step 6: Final answer
    x = 119,953.96

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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.