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Finding the Fourth Proportional to 213,489.96, 294,616.16 and 117,996.64

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Solution

The fourth proportional to 213,489.96, 294,616.16 and 117,996.64 is: 162,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,489.96 : 294,616.16 = 117,996.64 : x
  2. Step 2: Convert to fraction form
    213,489.96/294,616.16 = 117,996.64/x
  3. Step 3: Cross multiply
    213,489.96x = 294,616.16 × 117,996.64
  4. Step 4: Simplify right side
    213,489.96x = 34,763,716,969.70
  5. Step 5: Solve for x
    x = 34,763,716,969.70/213,489.96
  6. Step 6: Final answer
    x = 162,835.37

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1.5x scale

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.