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Finding the Fourth Proportional to 80,488, 120,738.66 and 25,084

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Solution

The fourth proportional to 80,488, 120,738.66 and 25,084 is: 37,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488 : 120,738.66 = 25,084 : x
  2. Step 2: Convert to fraction form
    80,488/120,738.66 = 25,084/x
  3. Step 3: Cross multiply
    80,488x = 120,738.66 × 25,084
  4. Step 4: Simplify right side
    80,488x = 3,028,608,547.44
  5. Step 5: Solve for x
    x = 3,028,608,547.44/80,488
  6. Step 6: Final answer
    x = 37,628.08

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