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Finding the Fourth Proportional to 231,852, 319,955.76 and 131,250

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Solution

The fourth proportional to 231,852, 319,955.76 and 131,250 is: 181,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,852 : 319,955.76 = 131,250 : x
  2. Step 2: Convert to fraction form
    231,852/319,955.76 = 131,250/x
  3. Step 3: Cross multiply
    231,852x = 319,955.76 × 131,250
  4. Step 4: Simplify right side
    231,852x = 41,994,193,500
  5. Step 5: Solve for x
    x = 41,994,193,500/231,852
  6. Step 6: Final answer
    x = 181,125

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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.