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Finding the Fourth Proportional to 212,958.72, 293,884.20 and 117,465.39

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Solution

The fourth proportional to 212,958.72, 293,884.20 and 117,465.39 is: 162,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,958.72 : 293,884.20 = 117,465.39 : x
  2. Step 2: Convert to fraction form
    212,958.72/293,884.20 = 117,465.39/x
  3. Step 3: Cross multiply
    212,958.72x = 293,884.20 × 117,465.39
  4. Step 4: Simplify right side
    212,958.72x = 34,521,222,167.84
  5. Step 5: Solve for x
    x = 34,521,222,167.84/212,958.72
  6. Step 6: Final answer
    x = 162,102.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.