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Finding the Fourth Proportional to 213,013.72, 295,201.57 and 210,007

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Solution

The fourth proportional to 213,013.72, 295,201.57 and 210,007 is: 291,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,013.72 : 295,201.57 = 210,007 : x
  2. Step 2: Convert to fraction form
    213,013.72/295,201.57 = 210,007/x
  3. Step 3: Cross multiply
    213,013.72x = 295,201.57 × 210,007
  4. Step 4: Simplify right side
    213,013.72x = 61,994,396,110.99
  5. Step 5: Solve for x
    x = 61,994,396,110.99/213,013.72
  6. Step 6: Final answer
    x = 291,034.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.