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Finding the Fourth Proportional to 217,930.40, 326,818.80 and 77,693.60

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Solution

The fourth proportional to 217,930.40, 326,818.80 and 77,693.60 is: 116,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,930.40 : 326,818.80 = 77,693.60 : x
  2. Step 2: Convert to fraction form
    217,930.40/326,818.80 = 77,693.60/x
  3. Step 3: Cross multiply
    217,930.40x = 326,818.80 × 77,693.60
  4. Step 4: Simplify right side
    217,930.40x = 25,391,729,119.68
  5. Step 5: Solve for x
    x = 25,391,729,119.68/217,930.40
  6. Step 6: Final answer
    x = 116,513.02

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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.