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Finding the Fourth Proportional to 137,679.22, 206,468.37 and 47,698.70

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Solution

The fourth proportional to 137,679.22, 206,468.37 and 47,698.70 is: 71,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,679.22 : 206,468.37 = 47,698.70 : x
  2. Step 2: Convert to fraction form
    137,679.22/206,468.37 = 47,698.70/x
  3. Step 3: Cross multiply
    137,679.22x = 206,468.37 × 47,698.70
  4. Step 4: Simplify right side
    137,679.22x = 9,848,271,807.78
  5. Step 5: Solve for x
    x = 9,848,271,807.78/137,679.22
  6. Step 6: Final answer
    x = 71,530.56

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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.