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Finding the Fourth Proportional to 204,986.80, 307,537.80 and 99,809.20

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Solution

The fourth proportional to 204,986.80, 307,537.80 and 99,809.20 is: 149,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,986.80 : 307,537.80 = 99,809.20 : x
  2. Step 2: Convert to fraction form
    204,986.80/307,537.80 = 99,809.20/x
  3. Step 3: Cross multiply
    204,986.80x = 307,537.80 × 99,809.20
  4. Step 4: Simplify right side
    204,986.80x = 30,695,101,787.76
  5. Step 5: Solve for x
    x = 30,695,101,787.76/204,986.80
  6. Step 6: Final answer
    x = 149,741.85

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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.