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Finding the Fourth Proportional to 231,232.86, 319,094.61 and 129,258.54

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Solution

The fourth proportional to 231,232.86, 319,094.61 and 129,258.54 is: 178,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,232.86 : 319,094.61 = 129,258.54 : x
  2. Step 2: Convert to fraction form
    231,232.86/319,094.61 = 129,258.54/x
  3. Step 3: Cross multiply
    231,232.86x = 319,094.61 × 129,258.54
  4. Step 4: Simplify right side
    231,232.86x = 41,245,703,410.47
  5. Step 5: Solve for x
    x = 41,245,703,410.47/231,232.86
  6. Step 6: Final answer
    x = 178,373.02

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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.