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Finding the Fourth Proportional to 203,353.50, 305,136.62 and 147,653.70

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Solution

The fourth proportional to 203,353.50, 305,136.62 and 147,653.70 is: 221,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,353.50 : 305,136.62 = 147,653.70 : x
  2. Step 2: Convert to fraction form
    203,353.50/305,136.62 = 147,653.70/x
  3. Step 3: Cross multiply
    203,353.50x = 305,136.62 × 147,653.70
  4. Step 4: Simplify right side
    203,353.50x = 45,054,550,948.49
  5. Step 5: Solve for x
    x = 45,054,550,948.49/203,353.50
  6. Step 6: Final answer
    x = 221,557.78

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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.