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Finding the Fourth Proportional to 199,584.49, 299,424.57 and 66,465.90

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Solution

The fourth proportional to 199,584.49, 299,424.57 and 66,465.90 is: 99,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584.49 : 299,424.57 = 66,465.90 : x
  2. Step 2: Convert to fraction form
    199,584.49/299,424.57 = 66,465.90/x
  3. Step 3: Cross multiply
    199,584.49x = 299,424.57 × 66,465.90
  4. Step 4: Simplify right side
    199,584.49x = 19,901,523,527.16
  5. Step 5: Solve for x
    x = 19,901,523,527.16/199,584.49
  6. Step 6: Final answer
    x = 99,714.78

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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.