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Finding the Fourth Proportional to 199,488, 299,232 and 100,992

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Solution

The fourth proportional to 199,488, 299,232 and 100,992 is: 151,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,488 : 299,232 = 100,992 : x
  2. Step 2: Convert to fraction form
    199,488/299,232 = 100,992/x
  3. Step 3: Cross multiply
    199,488x = 299,232 × 100,992
  4. Step 4: Simplify right side
    199,488x = 30,220,038,144
  5. Step 5: Solve for x
    x = 30,220,038,144/199,488
  6. Step 6: Final answer
    x = 151,488

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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.