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Finding the Fourth Proportional to 213,129.39, 294,097.60 and 117,629.94

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Solution

The fourth proportional to 213,129.39, 294,097.60 and 117,629.94 is: 162,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,129.39 : 294,097.60 = 117,629.94 : x
  2. Step 2: Convert to fraction form
    213,129.39/294,097.60 = 117,629.94/x
  3. Step 3: Cross multiply
    213,129.39x = 294,097.60 × 117,629.94
  4. Step 4: Simplify right side
    213,129.39x = 34,594,683,042.14
  5. Step 5: Solve for x
    x = 34,594,683,042.14/213,129.39
  6. Step 6: Final answer
    x = 162,317.75

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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.