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Finding the Fourth Proportional to 230,475.78, 345,760.65 and 130,680.54

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Solution

The fourth proportional to 230,475.78, 345,760.65 and 130,680.54 is: 196,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,475.78 : 345,760.65 = 130,680.54 : x
  2. Step 2: Convert to fraction form
    230,475.78/345,760.65 = 130,680.54/x
  3. Step 3: Cross multiply
    230,475.78x = 345,760.65 × 130,680.54
  4. Step 4: Simplify right side
    230,475.78x = 45,184,188,452.75
  5. Step 5: Solve for x
    x = 45,184,188,452.75/230,475.78
  6. Step 6: Final answer
    x = 196,047.45

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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.