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Finding the Fourth Proportional to 203,624.80, 305,566.80 and 119,384.80

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Solution

The fourth proportional to 203,624.80, 305,566.80 and 119,384.80 is: 179,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,624.80 : 305,566.80 = 119,384.80 : x
  2. Step 2: Convert to fraction form
    203,624.80/305,566.80 = 119,384.80/x
  3. Step 3: Cross multiply
    203,624.80x = 305,566.80 × 119,384.80
  4. Step 4: Simplify right side
    203,624.80x = 36,480,031,304.64
  5. Step 5: Solve for x
    x = 36,480,031,304.64/203,624.80
  6. Step 6: Final answer
    x = 179,153.18

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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.