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Finding the Fourth Proportional to 213,182.34, 294,189.87 and 117,687

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Solution

The fourth proportional to 213,182.34, 294,189.87 and 117,687 is: 162,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,182.34 : 294,189.87 = 117,687 : x
  2. Step 2: Convert to fraction form
    213,182.34/294,189.87 = 117,687/x
  3. Step 3: Cross multiply
    213,182.34x = 294,189.87 × 117,687
  4. Step 4: Simplify right side
    213,182.34x = 34,622,323,230.69
  5. Step 5: Solve for x
    x = 34,622,323,230.69/213,182.34
  6. Step 6: Final answer
    x = 162,407.09

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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.