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Finding the Fourth Proportional to 199,409.57, 299,049.65 and 66,254.07

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Solution

The fourth proportional to 199,409.57, 299,049.65 and 66,254.07 is: 99,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,409.57 : 299,049.65 = 66,254.07 : x
  2. Step 2: Convert to fraction form
    199,409.57/299,049.65 = 66,254.07/x
  3. Step 3: Cross multiply
    199,409.57x = 299,049.65 × 66,254.07
  4. Step 4: Simplify right side
    199,409.57x = 19,813,256,113.31
  5. Step 5: Solve for x
    x = 19,813,256,113.31/199,409.57
  6. Step 6: Final answer
    x = 99,359.61

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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.