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Finding the Fourth Proportional to 213,348.40, 320,027.46 and 73,105

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Solution

The fourth proportional to 213,348.40, 320,027.46 and 73,105 is: 109,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,348.40 : 320,027.46 = 73,105 : x
  2. Step 2: Convert to fraction form
    213,348.40/320,027.46 = 73,105/x
  3. Step 3: Cross multiply
    213,348.40x = 320,027.46 × 73,105
  4. Step 4: Simplify right side
    213,348.40x = 23,395,607,463.30
  5. Step 5: Solve for x
    x = 23,395,607,463.30/213,348.40
  6. Step 6: Final answer
    x = 109,659.17

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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.