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Finding the Fourth Proportional to 213,182.84, 294,190.56 and 117,687.50

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Solution

The fourth proportional to 213,182.84, 294,190.56 and 117,687.50 is: 162,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,182.84 : 294,190.56 = 117,687.50 : x
  2. Step 2: Convert to fraction form
    213,182.84/294,190.56 = 117,687.50/x
  3. Step 3: Cross multiply
    213,182.84x = 294,190.56 × 117,687.50
  4. Step 4: Simplify right side
    213,182.84x = 34,622,551,530
  5. Step 5: Solve for x
    x = 34,622,551,530/213,182.84
  6. Step 6: Final answer
    x = 162,407.78

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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.