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Finding the Fourth Proportional to 203,474.13, 305,211.20 and 78,815.13

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Solution

The fourth proportional to 203,474.13, 305,211.20 and 78,815.13 is: 118,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.13 : 305,211.20 = 78,815.13 : x
  2. Step 2: Convert to fraction form
    203,474.13/305,211.20 = 78,815.13/x
  3. Step 3: Cross multiply
    203,474.13x = 305,211.20 × 78,815.13
  4. Step 4: Simplify right side
    203,474.13x = 24,055,260,405.46
  5. Step 5: Solve for x
    x = 24,055,260,405.46/203,474.13
  6. Step 6: Final answer
    x = 118,222.70

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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.