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Finding the Fourth Proportional to 118,841.78, 178,161.12 and 43,947.97

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Solution

The fourth proportional to 118,841.78, 178,161.12 and 43,947.97 is: 65,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,841.78 : 178,161.12 = 43,947.97 : x
  2. Step 2: Convert to fraction form
    118,841.78/178,161.12 = 43,947.97/x
  3. Step 3: Cross multiply
    118,841.78x = 178,161.12 × 43,947.97
  4. Step 4: Simplify right side
    118,841.78x = 7,829,819,111.52
  5. Step 5: Solve for x
    x = 7,829,819,111.52/118,841.78
  6. Step 6: Final answer
    x = 65,884.40

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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.