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Finding the Fourth Proportional to 199,604.20, 299,406.30 and 99,779.80

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Solution

The fourth proportional to 199,604.20, 299,406.30 and 99,779.80 is: 149,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,604.20 : 299,406.30 = 99,779.80 : x
  2. Step 2: Convert to fraction form
    199,604.20/299,406.30 = 99,779.80/x
  3. Step 3: Cross multiply
    199,604.20x = 299,406.30 × 99,779.80
  4. Step 4: Simplify right side
    199,604.20x = 29,874,700,732.74
  5. Step 5: Solve for x
    x = 29,874,700,732.74/199,604.20
  6. Step 6: Final answer
    x = 149,669.70

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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.