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Finding the Fourth Proportional to 212,286.36, 292,955.16 and 116,791

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Solution

The fourth proportional to 212,286.36, 292,955.16 and 116,791 is: 161,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,286.36 : 292,955.16 = 116,791 : x
  2. Step 2: Convert to fraction form
    212,286.36/292,955.16 = 116,791/x
  3. Step 3: Cross multiply
    212,286.36x = 292,955.16 × 116,791
  4. Step 4: Simplify right side
    212,286.36x = 34,214,526,091.56
  5. Step 5: Solve for x
    x = 34,214,526,091.56/212,286.36
  6. Step 6: Final answer
    x = 161,171.57

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Why These Related Problems?

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