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Finding the Fourth Proportional to 100,391, 150,595.14 and 26,519

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Solution

The fourth proportional to 100,391, 150,595.14 and 26,519 is: 39,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,391 : 150,595.14 = 26,519 : x
  2. Step 2: Convert to fraction form
    100,391/150,595.14 = 26,519/x
  3. Step 3: Cross multiply
    100,391x = 150,595.14 × 26,519
  4. Step 4: Simplify right side
    100,391x = 3,993,632,517.66
  5. Step 5: Solve for x
    x = 3,993,632,517.66/100,391
  6. Step 6: Final answer
    x = 39,780.78

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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.