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Finding the Fourth Proportional to 212,201.46, 318,294.63 and 54,431.46

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Solution

The fourth proportional to 212,201.46, 318,294.63 and 54,431.46 is: 81,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,201.46 : 318,294.63 = 54,431.46 : x
  2. Step 2: Convert to fraction form
    212,201.46/318,294.63 = 54,431.46/x
  3. Step 3: Cross multiply
    212,201.46x = 318,294.63 × 54,431.46
  4. Step 4: Simplify right side
    212,201.46x = 17,325,241,421.06
  5. Step 5: Solve for x
    x = 17,325,241,421.06/212,201.46
  6. Step 6: Final answer
    x = 81,645.25

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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.