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Finding the Fourth Proportional to 230,644.26, 318,288.78 and 130,042.26

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Solution

The fourth proportional to 230,644.26, 318,288.78 and 130,042.26 is: 179,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,644.26 : 318,288.78 = 130,042.26 : x
  2. Step 2: Convert to fraction form
    230,644.26/318,288.78 = 130,042.26/x
  3. Step 3: Cross multiply
    230,644.26x = 318,288.78 × 130,042.26
  4. Step 4: Simplify right side
    230,644.26x = 41,390,992,283.84
  5. Step 5: Solve for x
    x = 41,390,992,283.84/230,644.26
  6. Step 6: Final answer
    x = 179,458.15

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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.