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Finding the Fourth Proportional to 78,634.47, 117,846.63 and 28,667.64

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Solution

The fourth proportional to 78,634.47, 117,846.63 and 28,667.64 is: 42,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,634.47 : 117,846.63 = 28,667.64 : x
  2. Step 2: Convert to fraction form
    78,634.47/117,846.63 = 28,667.64/x
  3. Step 3: Cross multiply
    78,634.47x = 117,846.63 × 28,667.64
  4. Step 4: Simplify right side
    78,634.47x = 3,378,384,764.05
  5. Step 5: Solve for x
    x = 3,378,384,764.05/78,634.47
  6. Step 6: Final answer
    x = 42,963.15

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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.