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Finding the Fourth Proportional to 213,874.66, 320,787.37 and 56,115.42

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Solution

The fourth proportional to 213,874.66, 320,787.37 and 56,115.42 is: 84,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,874.66 : 320,787.37 = 56,115.42 : x
  2. Step 2: Convert to fraction form
    213,874.66/320,787.37 = 56,115.42/x
  3. Step 3: Cross multiply
    213,874.66x = 320,787.37 × 56,115.42
  4. Step 4: Simplify right side
    213,874.66x = 18,001,116,865.44
  5. Step 5: Solve for x
    x = 18,001,116,865.44/213,874.66
  6. Step 6: Final answer
    x = 84,166.66

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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.