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Finding the Fourth Proportional to 230,129.20, 317,581.86 and 129,527.20

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Solution

The fourth proportional to 230,129.20, 317,581.86 and 129,527.20 is: 178,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,129.20 : 317,581.86 = 129,527.20 : x
  2. Step 2: Convert to fraction form
    230,129.20/317,581.86 = 129,527.20/x
  3. Step 3: Cross multiply
    230,129.20x = 317,581.86 × 129,527.20
  4. Step 4: Simplify right side
    230,129.20x = 41,135,489,096.59
  5. Step 5: Solve for x
    x = 41,135,489,096.59/230,129.20
  6. Step 6: Final answer
    x = 178,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.