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Finding the Fourth Proportional to 203,808.80, 305,436.72 and 115,018.40

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Solution

The fourth proportional to 203,808.80, 305,436.72 and 115,018.40 is: 172,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,808.80 : 305,436.72 = 115,018.40 : x
  2. Step 2: Convert to fraction form
    203,808.80/305,436.72 = 115,018.40/x
  3. Step 3: Cross multiply
    203,808.80x = 305,436.72 × 115,018.40
  4. Step 4: Simplify right side
    203,808.80x = 35,130,842,835.65
  5. Step 5: Solve for x
    x = 35,130,842,835.65/203,808.80
  6. Step 6: Final answer
    x = 172,371.57

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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.