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Finding the Fourth Proportional to 203,988.48, 305,763.96 and 98,662.56

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Solution

The fourth proportional to 203,988.48, 305,763.96 and 98,662.56 is: 147,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,988.48 : 305,763.96 = 98,662.56 : x
  2. Step 2: Convert to fraction form
    203,988.48/305,763.96 = 98,662.56/x
  3. Step 3: Cross multiply
    203,988.48x = 305,763.96 × 98,662.56
  4. Step 4: Simplify right side
    203,988.48x = 30,167,455,049.34
  5. Step 5: Solve for x
    x = 30,167,455,049.34/203,988.48
  6. Step 6: Final answer
    x = 147,888.03

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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.