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Finding the Fourth Proportional to 210,037.20, 315,055.80 and 76,921.80

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Solution

The fourth proportional to 210,037.20, 315,055.80 and 76,921.80 is: 115,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,037.20 : 315,055.80 = 76,921.80 : x
  2. Step 2: Convert to fraction form
    210,037.20/315,055.80 = 76,921.80/x
  3. Step 3: Cross multiply
    210,037.20x = 315,055.80 × 76,921.80
  4. Step 4: Simplify right side
    210,037.20x = 24,234,659,236.44
  5. Step 5: Solve for x
    x = 24,234,659,236.44/210,037.20
  6. Step 6: Final answer
    x = 115,382.70

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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.