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Finding the Fourth Proportional to 73,132, 109,698.64 and 17,728

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Solution

The fourth proportional to 73,132, 109,698.64 and 17,728 is: 26,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132 : 109,698.64 = 17,728 : x
  2. Step 2: Convert to fraction form
    73,132/109,698.64 = 17,728/x
  3. Step 3: Cross multiply
    73,132x = 109,698.64 × 17,728
  4. Step 4: Simplify right side
    73,132x = 1,944,737,489.92
  5. Step 5: Solve for x
    x = 1,944,737,489.92/73,132
  6. Step 6: Final answer
    x = 26,592.16

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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.