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Finding the Fourth Proportional to 204,998.30, 307,555.05 and 99,820.70

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Solution

The fourth proportional to 204,998.30, 307,555.05 and 99,820.70 is: 149,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,998.30 : 307,555.05 = 99,820.70 : x
  2. Step 2: Convert to fraction form
    204,998.30/307,555.05 = 99,820.70/x
  3. Step 3: Cross multiply
    204,998.30x = 307,555.05 × 99,820.70
  4. Step 4: Simplify right side
    204,998.30x = 30,700,360,379.54
  5. Step 5: Solve for x
    x = 30,700,360,379.54/204,998.30
  6. Step 6: Final answer
    x = 149,759.10

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1.5x scale

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.