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Finding the Fourth Proportional to 209,692.43, 289,335.80 and 133,223.97

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Solution

The fourth proportional to 209,692.43, 289,335.80 and 133,223.97 is: 183,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,692.43 : 289,335.80 = 133,223.97 : x
  2. Step 2: Convert to fraction form
    209,692.43/289,335.80 = 133,223.97/x
  3. Step 3: Cross multiply
    209,692.43x = 289,335.80 × 133,223.97
  4. Step 4: Simplify right side
    209,692.43x = 38,546,463,273.01
  5. Step 5: Solve for x
    x = 38,546,463,273.01/209,692.43
  6. Step 6: Final answer
    x = 183,823.82

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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.