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Finding the Fourth Proportional to 209,005, 313,519.38 and 66,862.76

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Solution

The fourth proportional to 209,005, 313,519.38 and 66,862.76 is: 100,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,005 : 313,519.38 = 66,862.76 : x
  2. Step 2: Convert to fraction form
    209,005/313,519.38 = 66,862.76/x
  3. Step 3: Cross multiply
    209,005x = 313,519.38 × 66,862.76
  4. Step 4: Simplify right side
    209,005x = 20,962,771,060.29
  5. Step 5: Solve for x
    x = 20,962,771,060.29/209,005
  6. Step 6: Final answer
    x = 100,297.94

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1.5x scale

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.