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Finding the Fourth Proportional to 203,724.32, 305,657.76 and 79,152.80

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Solution

The fourth proportional to 203,724.32, 305,657.76 and 79,152.80 is: 118,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,724.32 : 305,657.76 = 79,152.80 : x
  2. Step 2: Convert to fraction form
    203,724.32/305,657.76 = 79,152.80/x
  3. Step 3: Cross multiply
    203,724.32x = 305,657.76 × 79,152.80
  4. Step 4: Simplify right side
    203,724.32x = 24,193,667,545.73
  5. Step 5: Solve for x
    x = 24,193,667,545.73/203,724.32
  6. Step 6: Final answer
    x = 118,756.89

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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.