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Finding the Fourth Proportional to 78,133.75, 117,200.66 and 21,979.82

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Solution

The fourth proportional to 78,133.75, 117,200.66 and 21,979.82 is: 32,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,133.75 : 117,200.66 = 21,979.82 : x
  2. Step 2: Convert to fraction form
    78,133.75/117,200.66 = 21,979.82/x
  3. Step 3: Cross multiply
    78,133.75x = 117,200.66 × 21,979.82
  4. Step 4: Simplify right side
    78,133.75x = 2,576,049,593.78
  5. Step 5: Solve for x
    x = 2,576,049,593.78/78,133.75
  6. Step 6: Final answer
    x = 32,969.74

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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.