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Finding the Fourth Proportional to 231,996.76, 320,178 and 130,039.54

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Solution

The fourth proportional to 231,996.76, 320,178 and 130,039.54 is: 179,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,996.76 : 320,178 = 130,039.54 : x
  2. Step 2: Convert to fraction form
    231,996.76/320,178 = 130,039.54/x
  3. Step 3: Cross multiply
    231,996.76x = 320,178 × 130,039.54
  4. Step 4: Simplify right side
    231,996.76x = 41,635,799,838.12
  5. Step 5: Solve for x
    x = 41,635,799,838.12/231,996.76
  6. Step 6: Final answer
    x = 179,467.16

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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.