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Finding the Fourth Proportional to 78,656.20, 117,963.66 and 53,691.64

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Solution

The fourth proportional to 78,656.20, 117,963.66 and 53,691.64 is: 80,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,656.20 : 117,963.66 = 53,691.64 : x
  2. Step 2: Convert to fraction form
    78,656.20/117,963.66 = 53,691.64/x
  3. Step 3: Cross multiply
    78,656.20x = 117,963.66 × 53,691.64
  4. Step 4: Simplify right side
    78,656.20x = 6,333,662,365.80
  5. Step 5: Solve for x
    x = 6,333,662,365.80/78,656.20
  6. Step 6: Final answer
    x = 80,523.37

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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.