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Finding the Fourth Proportional to 213,172.54, 294,177.04 and 117,679

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Solution

The fourth proportional to 213,172.54, 294,177.04 and 117,679 is: 162,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,172.54 : 294,177.04 = 117,679 : x
  2. Step 2: Convert to fraction form
    213,172.54/294,177.04 = 117,679/x
  3. Step 3: Cross multiply
    213,172.54x = 294,177.04 × 117,679
  4. Step 4: Simplify right side
    213,172.54x = 34,618,459,890.16
  5. Step 5: Solve for x
    x = 34,618,459,890.16/213,172.54
  6. Step 6: Final answer
    x = 162,396.43

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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.