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Finding the Fourth Proportional to 209,224.99, 313,814.80 and 123,844.51

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Solution

The fourth proportional to 209,224.99, 313,814.80 and 123,844.51 is: 185,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,224.99 : 313,814.80 = 123,844.51 : x
  2. Step 2: Convert to fraction form
    209,224.99/313,814.80 = 123,844.51/x
  3. Step 3: Cross multiply
    209,224.99x = 313,814.80 × 123,844.51
  4. Step 4: Simplify right side
    209,224.99x = 38,864,240,136.75
  5. Step 5: Solve for x
    x = 38,864,240,136.75/209,224.99
  6. Step 6: Final answer
    x = 185,753.34

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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.