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Finding the Fourth Proportional to 80,307, 120,467.93 and 21,142.98

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Solution

The fourth proportional to 80,307, 120,467.93 and 21,142.98 is: 31,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,307 : 120,467.93 = 21,142.98 : x
  2. Step 2: Convert to fraction form
    80,307/120,467.93 = 21,142.98/x
  3. Step 3: Cross multiply
    80,307x = 120,467.93 × 21,142.98
  4. Step 4: Simplify right side
    80,307x = 2,547,050,928.92
  5. Step 5: Solve for x
    x = 2,547,050,928.92/80,307
  6. Step 6: Final answer
    x = 31,716.42

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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.