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Finding the Fourth Proportional to 203,209.80, 305,011.44 and 98,102.52

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Solution

The fourth proportional to 203,209.80, 305,011.44 and 98,102.52 is: 147,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,209.80 : 305,011.44 = 98,102.52 : x
  2. Step 2: Convert to fraction form
    203,209.80/305,011.44 = 98,102.52/x
  3. Step 3: Cross multiply
    203,209.80x = 305,011.44 × 98,102.52
  4. Step 4: Simplify right side
    203,209.80x = 29,922,390,892.83
  5. Step 5: Solve for x
    x = 29,922,390,892.83/203,209.80
  6. Step 6: Final answer
    x = 147,248.76

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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.