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Finding the Fourth Proportional to 209,608.71, 289,252.26 and 114,113.49

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Solution

The fourth proportional to 209,608.71, 289,252.26 and 114,113.49 is: 157,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,608.71 : 289,252.26 = 114,113.49 : x
  2. Step 2: Convert to fraction form
    209,608.71/289,252.26 = 114,113.49/x
  3. Step 3: Cross multiply
    209,608.71x = 289,252.26 × 114,113.49
  4. Step 4: Simplify right side
    209,608.71x = 33,007,584,878.99
  5. Step 5: Solve for x
    x = 33,007,584,878.99/209,608.71
  6. Step 6: Final answer
    x = 157,472.39

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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.