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Finding the Fourth Proportional to 204,562.02, 306,872.19 and 99,309

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Solution

The fourth proportional to 204,562.02, 306,872.19 and 99,309 is: 148,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,562.02 : 306,872.19 = 99,309 : x
  2. Step 2: Convert to fraction form
    204,562.02/306,872.19 = 99,309/x
  3. Step 3: Cross multiply
    204,562.02x = 306,872.19 × 99,309
  4. Step 4: Simplify right side
    204,562.02x = 30,475,170,316.71
  5. Step 5: Solve for x
    x = 30,475,170,316.71/204,562.02
  6. Step 6: Final answer
    x = 148,977.66

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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.