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Finding the Fourth Proportional to 230,804.20, 345,947.10 and 97,661.80

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Solution

The fourth proportional to 230,804.20, 345,947.10 and 97,661.80 is: 146,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,804.20 : 345,947.10 = 97,661.80 : x
  2. Step 2: Convert to fraction form
    230,804.20/345,947.10 = 97,661.80/x
  3. Step 3: Cross multiply
    230,804.20x = 345,947.10 × 97,661.80
  4. Step 4: Simplify right side
    230,804.20x = 33,785,816,490.78
  5. Step 5: Solve for x
    x = 33,785,816,490.78/230,804.20
  6. Step 6: Final answer
    x = 146,383.02

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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.