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Finding the Fourth Proportional to 209,013.63, 313,603.52 and 66,880.80

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Solution

The fourth proportional to 209,013.63, 313,603.52 and 66,880.80 is: 100,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,013.63 : 313,603.52 = 66,880.80 : x
  2. Step 2: Convert to fraction form
    209,013.63/313,603.52 = 66,880.80/x
  3. Step 3: Cross multiply
    209,013.63x = 313,603.52 × 66,880.80
  4. Step 4: Simplify right side
    209,013.63x = 20,974,053,966.01
  5. Step 5: Solve for x
    x = 20,974,053,966.01/209,013.63
  6. Step 6: Final answer
    x = 100,347.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.