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Finding the Fourth Proportional to 209,603, 289,274.01 and 118,983.44

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Solution

The fourth proportional to 209,603, 289,274.01 and 118,983.44 is: 164,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,603 : 289,274.01 = 118,983.44 : x
  2. Step 2: Convert to fraction form
    209,603/289,274.01 = 118,983.44/x
  3. Step 3: Cross multiply
    209,603x = 289,274.01 × 118,983.44
  4. Step 4: Simplify right side
    209,603x = 34,418,816,812.39
  5. Step 5: Solve for x
    x = 34,418,816,812.39/209,603
  6. Step 6: Final answer
    x = 164,209.56

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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.