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Finding the Fourth Proportional to 230,535.54, 345,789.34 and 86,412.96

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Solution

The fourth proportional to 230,535.54, 345,789.34 and 86,412.96 is: 129,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,535.54 : 345,789.34 = 86,412.96 : x
  2. Step 2: Convert to fraction form
    230,535.54/345,789.34 = 86,412.96/x
  3. Step 3: Cross multiply
    230,535.54x = 345,789.34 × 86,412.96
  4. Step 4: Simplify right side
    230,535.54x = 29,880,680,189.81
  5. Step 5: Solve for x
    x = 29,880,680,189.81/230,535.54
  6. Step 6: Final answer
    x = 129,614.20

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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.