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Finding the Fourth Proportional to 199,577.85, 299,414.61 and 66,459.30

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Solution

The fourth proportional to 199,577.85, 299,414.61 and 66,459.30 is: 99,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,577.85 : 299,414.61 = 66,459.30 : x
  2. Step 2: Convert to fraction form
    199,577.85/299,414.61 = 66,459.30/x
  3. Step 3: Cross multiply
    199,577.85x = 299,414.61 × 66,459.30
  4. Step 4: Simplify right side
    199,577.85x = 19,898,885,390.37
  5. Step 5: Solve for x
    x = 19,898,885,390.37/199,577.85
  6. Step 6: Final answer
    x = 99,704.88

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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.