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Finding the Fourth Proportional to 213,710.91, 320,595.53 and 89,022.75

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Solution

The fourth proportional to 213,710.91, 320,595.53 and 89,022.75 is: 133,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,710.91 : 320,595.53 = 89,022.75 : x
  2. Step 2: Convert to fraction form
    213,710.91/320,595.53 = 89,022.75/x
  3. Step 3: Cross multiply
    213,710.91x = 320,595.53 × 89,022.75
  4. Step 4: Simplify right side
    213,710.91x = 28,540,295,273.19
  5. Step 5: Solve for x
    x = 28,540,295,273.19/213,710.91
  6. Step 6: Final answer
    x = 133,546.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.