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Finding the Fourth Proportional to 73,128, 109,692 and 17,724

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Solution

The fourth proportional to 73,128, 109,692 and 17,724 is: 26,586

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,128 : 109,692 = 17,724 : x
  2. Step 2: Convert to fraction form
    73,128/109,692 = 17,724/x
  3. Step 3: Cross multiply
    73,128x = 109,692 × 17,724
  4. Step 4: Simplify right side
    73,128x = 1,944,181,008
  5. Step 5: Solve for x
    x = 1,944,181,008/73,128
  6. Step 6: Final answer
    x = 26,586

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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.