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Finding the Fourth Proportional to 178,906.40, 246,914.19 and 115,428.86

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Solution

The fourth proportional to 178,906.40, 246,914.19 and 115,428.86 is: 159,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,906.40 : 246,914.19 = 115,428.86 : x
  2. Step 2: Convert to fraction form
    178,906.40/246,914.19 = 115,428.86/x
  3. Step 3: Cross multiply
    178,906.40x = 246,914.19 × 115,428.86
  4. Step 4: Simplify right side
    178,906.40x = 28,501,023,469.52
  5. Step 5: Solve for x
    x = 28,501,023,469.52/178,906.40
  6. Step 6: Final answer
    x = 159,306.90

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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.