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Finding the Fourth Proportional to 231,118.96, 319,042.40 and 140,503.87

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Solution

The fourth proportional to 231,118.96, 319,042.40 and 140,503.87 is: 193,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,118.96 : 319,042.40 = 140,503.87 : x
  2. Step 2: Convert to fraction form
    231,118.96/319,042.40 = 140,503.87/x
  3. Step 3: Cross multiply
    231,118.96x = 319,042.40 × 140,503.87
  4. Step 4: Simplify right side
    231,118.96x = 44,826,691,894.09
  5. Step 5: Solve for x
    x = 44,826,691,894.09/231,118.96
  6. Step 6: Final answer
    x = 193,955.06

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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.