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Finding the Fourth Proportional to 212,843.78, 319,256.44 and 52,916.36

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Solution

The fourth proportional to 212,843.78, 319,256.44 and 52,916.36 is: 79,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,843.78 : 319,256.44 = 52,916.36 : x
  2. Step 2: Convert to fraction form
    212,843.78/319,256.44 = 52,916.36/x
  3. Step 3: Cross multiply
    212,843.78x = 319,256.44 × 52,916.36
  4. Step 4: Simplify right side
    212,843.78x = 16,893,889,676.51
  5. Step 5: Solve for x
    x = 16,893,889,676.51/212,843.78
  6. Step 6: Final answer
    x = 79,372.25

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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.