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Finding the Fourth Proportional to 212,578.65, 318,886.33 and 54,805.77

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Solution

The fourth proportional to 212,578.65, 318,886.33 and 54,805.77 is: 82,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,578.65 : 318,886.33 = 54,805.77 : x
  2. Step 2: Convert to fraction form
    212,578.65/318,886.33 = 54,805.77/x
  3. Step 3: Cross multiply
    212,578.65x = 318,886.33 × 54,805.77
  4. Step 4: Simplify right side
    212,578.65x = 17,476,810,858.12
  5. Step 5: Solve for x
    x = 17,476,810,858.12/212,578.65
  6. Step 6: Final answer
    x = 82,213.39

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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.