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Finding the Fourth Proportional to 199,718.16, 299,414.80 and 136,378.56

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Solution

The fourth proportional to 199,718.16, 299,414.80 and 136,378.56 is: 204,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,718.16 : 299,414.80 = 136,378.56 : x
  2. Step 2: Convert to fraction form
    199,718.16/299,414.80 = 136,378.56/x
  3. Step 3: Cross multiply
    199,718.16x = 299,414.80 × 136,378.56
  4. Step 4: Simplify right side
    199,718.16x = 40,833,759,266.69
  5. Step 5: Solve for x
    x = 40,833,759,266.69/199,718.16
  6. Step 6: Final answer
    x = 204,456.92

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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.