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Finding the Fourth Proportional to 203,989.48, 305,765.46 and 98,663.56

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Solution

The fourth proportional to 203,989.48, 305,765.46 and 98,663.56 is: 147,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,989.48 : 305,765.46 = 98,663.56 : x
  2. Step 2: Convert to fraction form
    203,989.48/305,765.46 = 98,663.56/x
  3. Step 3: Cross multiply
    203,989.48x = 305,765.46 × 98,663.56
  4. Step 4: Simplify right side
    203,989.48x = 30,167,908,808.64
  5. Step 5: Solve for x
    x = 30,167,908,808.64/203,989.48
  6. Step 6: Final answer
    x = 147,889.53

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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.