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Finding the Fourth Proportional to 230,305.79, 345,490.98 and 80,512.01

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Solution

The fourth proportional to 230,305.79, 345,490.98 and 80,512.01 is: 120,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,305.79 : 345,490.98 = 80,512.01 : x
  2. Step 2: Convert to fraction form
    230,305.79/345,490.98 = 80,512.01/x
  3. Step 3: Cross multiply
    230,305.79x = 345,490.98 × 80,512.01
  4. Step 4: Simplify right side
    230,305.79x = 27,816,174,301.68
  5. Step 5: Solve for x
    x = 27,816,174,301.68/230,305.79
  6. Step 6: Final answer
    x = 120,779.31

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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.