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Finding the Fourth Proportional to 213,964.03, 295,275 and 117,172

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Solution

The fourth proportional to 213,964.03, 295,275 and 117,172 is: 161,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,964.03 : 295,275 = 117,172 : x
  2. Step 2: Convert to fraction form
    213,964.03/295,275 = 117,172/x
  3. Step 3: Cross multiply
    213,964.03x = 295,275 × 117,172
  4. Step 4: Simplify right side
    213,964.03x = 34,597,962,300
  5. Step 5: Solve for x
    x = 34,597,962,300/213,964.03
  6. Step 6: Final answer
    x = 161,699.90

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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.