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Finding the Fourth Proportional to 217,685.67, 326,654.48 and 91,314.60

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Solution

The fourth proportional to 217,685.67, 326,654.48 and 91,314.60 is: 137,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,685.67 : 326,654.48 = 91,314.60 : x
  2. Step 2: Convert to fraction form
    217,685.67/326,654.48 = 91,314.60/x
  3. Step 3: Cross multiply
    217,685.67x = 326,654.48 × 91,314.60
  4. Step 4: Simplify right side
    217,685.67x = 29,828,323,179.41
  5. Step 5: Solve for x
    x = 29,828,323,179.41/217,685.67
  6. Step 6: Final answer
    x = 137,024.74

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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.