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Finding the Fourth Proportional to 199,455.80, 299,198.10 and 66,428.60

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Solution

The fourth proportional to 199,455.80, 299,198.10 and 66,428.60 is: 99,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,455.80 : 299,198.10 = 66,428.60 : x
  2. Step 2: Convert to fraction form
    199,455.80/299,198.10 = 66,428.60/x
  3. Step 3: Cross multiply
    199,455.80x = 299,198.10 × 66,428.60
  4. Step 4: Simplify right side
    199,455.80x = 19,875,310,905.66
  5. Step 5: Solve for x
    x = 19,875,310,905.66/199,455.80
  6. Step 6: Final answer
    x = 99,647.70

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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.