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Finding the Fourth Proportional to 78,383.66, 117,494.96 and 30,979.49

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Solution

The fourth proportional to 78,383.66, 117,494.96 and 30,979.49 is: 46,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,383.66 : 117,494.96 = 30,979.49 : x
  2. Step 2: Convert to fraction form
    78,383.66/117,494.96 = 30,979.49/x
  3. Step 3: Cross multiply
    78,383.66x = 117,494.96 × 30,979.49
  4. Step 4: Simplify right side
    78,383.66x = 3,639,933,196.00
  5. Step 5: Solve for x
    x = 3,639,933,196.00/78,383.66
  6. Step 6: Final answer
    x = 46,437.40

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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.