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Finding the Fourth Proportional to 213,431.50, 294,531.36 and 117,936.13

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Solution

The fourth proportional to 213,431.50, 294,531.36 and 117,936.13 is: 162,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,431.50 : 294,531.36 = 117,936.13 : x
  2. Step 2: Convert to fraction form
    213,431.50/294,531.36 = 117,936.13/x
  3. Step 3: Cross multiply
    213,431.50x = 294,531.36 × 117,936.13
  4. Step 4: Simplify right side
    213,431.50x = 34,735,888,762.04
  5. Step 5: Solve for x
    x = 34,735,888,762.04/213,431.50
  6. Step 6: Final answer
    x = 162,749.59

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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.