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Finding the Fourth Proportional to 203,425.92, 305,205.12 and 98,256.96

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Solution

The fourth proportional to 203,425.92, 305,205.12 and 98,256.96 is: 147,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,425.92 : 305,205.12 = 98,256.96 : x
  2. Step 2: Convert to fraction form
    203,425.92/305,205.12 = 98,256.96/x
  3. Step 3: Cross multiply
    203,425.92x = 305,205.12 × 98,256.96
  4. Step 4: Simplify right side
    203,425.92x = 29,988,527,267.64
  5. Step 5: Solve for x
    x = 29,988,527,267.64/203,425.92
  6. Step 6: Final answer
    x = 147,417.43

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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.