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Finding the Fourth Proportional to 230,073.20, 345,041.70 and 103,640.36

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Solution

The fourth proportional to 230,073.20, 345,041.70 and 103,640.36 is: 155,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,073.20 : 345,041.70 = 103,640.36 : x
  2. Step 2: Convert to fraction form
    230,073.20/345,041.70 = 103,640.36/x
  3. Step 3: Cross multiply
    230,073.20x = 345,041.70 × 103,640.36
  4. Step 4: Simplify right side
    230,073.20x = 35,760,246,003.01
  5. Step 5: Solve for x
    x = 35,760,246,003.01/230,073.20
  6. Step 6: Final answer
    x = 155,429.86

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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.