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Finding the Fourth Proportional to 118,667.66, 178,016.16 and 43,788.20

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Solution

The fourth proportional to 118,667.66, 178,016.16 and 43,788.20 is: 65,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,667.66 : 178,016.16 = 43,788.20 : x
  2. Step 2: Convert to fraction form
    118,667.66/178,016.16 = 43,788.20/x
  3. Step 3: Cross multiply
    118,667.66x = 178,016.16 × 43,788.20
  4. Step 4: Simplify right side
    118,667.66x = 7,795,007,217.31
  5. Step 5: Solve for x
    x = 7,795,007,217.31/118,667.66
  6. Step 6: Final answer
    x = 65,687.71

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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.