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Finding the Fourth Proportional to 140,260.86, 193,431.78 and 109,638

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Solution

The fourth proportional to 140,260.86, 193,431.78 and 109,638 is: 151,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,260.86 : 193,431.78 = 109,638 : x
  2. Step 2: Convert to fraction form
    140,260.86/193,431.78 = 109,638/x
  3. Step 3: Cross multiply
    140,260.86x = 193,431.78 × 109,638
  4. Step 4: Simplify right side
    140,260.86x = 21,207,473,495.64
  5. Step 5: Solve for x
    x = 21,207,473,495.64/140,260.86
  6. Step 6: Final answer
    x = 151,200.22

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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.