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Finding the Fourth Proportional to 203,890.88, 305,841.72 and 120,239.48

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Solution

The fourth proportional to 203,890.88, 305,841.72 and 120,239.48 is: 180,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,890.88 : 305,841.72 = 120,239.48 : x
  2. Step 2: Convert to fraction form
    203,890.88/305,841.72 = 120,239.48/x
  3. Step 3: Cross multiply
    203,890.88x = 305,841.72 × 120,239.48
  4. Step 4: Simplify right side
    203,890.88x = 36,774,249,375.11
  5. Step 5: Solve for x
    x = 36,774,249,375.11/203,890.88
  6. Step 6: Final answer
    x = 180,362.40

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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.