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Finding the Fourth Proportional to 209,387.75, 289,006.44 and 118,796.75

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Solution

The fourth proportional to 209,387.75, 289,006.44 and 118,796.75 is: 163,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,387.75 : 289,006.44 = 118,796.75 : x
  2. Step 2: Convert to fraction form
    209,387.75/289,006.44 = 118,796.75/x
  3. Step 3: Cross multiply
    209,387.75x = 289,006.44 × 118,796.75
  4. Step 4: Simplify right side
    209,387.75x = 34,333,025,801.07
  5. Step 5: Solve for x
    x = 34,333,025,801.07/209,387.75
  6. Step 6: Final answer
    x = 163,968.65

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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.