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Finding the Fourth Proportional to 512,081.20, 768,121.80 and 157,094.65

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Solution

The fourth proportional to 512,081.20, 768,121.80 and 157,094.65 is: 235,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,081.20 : 768,121.80 = 157,094.65 : x
  2. Step 2: Convert to fraction form
    512,081.20/768,121.80 = 157,094.65/x
  3. Step 3: Cross multiply
    512,081.20x = 768,121.80 × 157,094.65
  4. Step 4: Simplify right side
    512,081.20x = 120,667,825,328.37
  5. Step 5: Solve for x
    x = 120,667,825,328.37/512,081.20
  6. Step 6: Final answer
    x = 235,641.98

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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.