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Finding the Fourth Proportional to 212,201.96, 318,295.38 and 54,431.96

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Solution

The fourth proportional to 212,201.96, 318,295.38 and 54,431.96 is: 81,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,201.96 : 318,295.38 = 54,431.96 : x
  2. Step 2: Convert to fraction form
    212,201.96/318,295.38 = 54,431.96/x
  3. Step 3: Cross multiply
    212,201.96x = 318,295.38 × 54,431.96
  4. Step 4: Simplify right side
    212,201.96x = 17,325,441,392.34
  5. Step 5: Solve for x
    x = 17,325,441,392.34/212,201.96
  6. Step 6: Final answer
    x = 81,646.00

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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.