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Finding the Fourth Proportional to 213,021.72, 295,212.67 and 210,015

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Solution

The fourth proportional to 213,021.72, 295,212.67 and 210,015 is: 291,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,021.72 : 295,212.67 = 210,015 : x
  2. Step 2: Convert to fraction form
    213,021.72/295,212.67 = 210,015/x
  3. Step 3: Cross multiply
    213,021.72x = 295,212.67 × 210,015
  4. Step 4: Simplify right side
    213,021.72x = 61,999,088,890.05
  5. Step 5: Solve for x
    x = 61,999,088,890.05/213,021.72
  6. Step 6: Final answer
    x = 291,045.86

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1.5x scale

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.