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Finding the Fourth Proportional to 230,640.40, 345,971.40 and 72,881.20

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Solution

The fourth proportional to 230,640.40, 345,971.40 and 72,881.20 is: 109,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,640.40 : 345,971.40 = 72,881.20 : x
  2. Step 2: Convert to fraction form
    230,640.40/345,971.40 = 72,881.20/x
  3. Step 3: Cross multiply
    230,640.40x = 345,971.40 × 72,881.20
  4. Step 4: Simplify right side
    230,640.40x = 25,214,810,797.68
  5. Step 5: Solve for x
    x = 25,214,810,797.68/230,640.40
  6. Step 6: Final answer
    x = 109,325.21

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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.