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Finding the Fourth Proportional to 72,698.45, 109,046.34 and 39,628.98

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Solution

The fourth proportional to 72,698.45, 109,046.34 and 39,628.98 is: 59,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698.45 : 109,046.34 = 39,628.98 : x
  2. Step 2: Convert to fraction form
    72,698.45/109,046.34 = 39,628.98/x
  3. Step 3: Cross multiply
    72,698.45x = 109,046.34 × 39,628.98
  4. Step 4: Simplify right side
    72,698.45x = 4,321,395,226.93
  5. Step 5: Solve for x
    x = 4,321,395,226.93/72,698.45
  6. Step 6: Final answer
    x = 59,442.75

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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.