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Finding the Fourth Proportional to 118,893.86, 178,341.47 and 30,147.56

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Solution

The fourth proportional to 118,893.86, 178,341.47 and 30,147.56 is: 45,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,893.86 : 178,341.47 = 30,147.56 : x
  2. Step 2: Convert to fraction form
    118,893.86/178,341.47 = 30,147.56/x
  3. Step 3: Cross multiply
    118,893.86x = 178,341.47 × 30,147.56
  4. Step 4: Simplify right side
    118,893.86x = 5,376,560,167.31
  5. Step 5: Solve for x
    x = 5,376,560,167.31/118,893.86
  6. Step 6: Final answer
    x = 45,221.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.