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Finding the Fourth Proportional to 209,622, 289,283.49 and 114,133.89

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Solution

The fourth proportional to 209,622, 289,283.49 and 114,133.89 is: 157,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,622 : 289,283.49 = 114,133.89 : x
  2. Step 2: Convert to fraction form
    209,622/289,283.49 = 114,133.89/x
  3. Step 3: Cross multiply
    209,622x = 289,283.49 × 114,133.89
  4. Step 4: Simplify right side
    209,622x = 33,017,050,026.48
  5. Step 5: Solve for x
    x = 33,017,050,026.48/209,622
  6. Step 6: Final answer
    x = 157,507.56

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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.