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Finding the Fourth Proportional to 213,618.40, 320,424.06 and 87,230.84

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Solution

The fourth proportional to 213,618.40, 320,424.06 and 87,230.84 is: 130,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,618.40 : 320,424.06 = 87,230.84 : x
  2. Step 2: Convert to fraction form
    213,618.40/320,424.06 = 87,230.84/x
  3. Step 3: Cross multiply
    213,618.40x = 320,424.06 × 87,230.84
  4. Step 4: Simplify right side
    213,618.40x = 27,950,859,910.01
  5. Step 5: Solve for x
    x = 27,950,859,910.01/213,618.40
  6. Step 6: Final answer
    x = 130,844.81

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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.