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Finding the Fourth Proportional to 210,221.70, 315,268.83 and 77,112.78

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Solution

The fourth proportional to 210,221.70, 315,268.83 and 77,112.78 is: 115,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,221.70 : 315,268.83 = 77,112.78 : x
  2. Step 2: Convert to fraction form
    210,221.70/315,268.83 = 77,112.78/x
  3. Step 3: Cross multiply
    210,221.70x = 315,268.83 × 77,112.78
  4. Step 4: Simplify right side
    210,221.70x = 24,311,255,928.65
  5. Step 5: Solve for x
    x = 24,311,255,928.65/210,221.70
  6. Step 6: Final answer
    x = 115,645.80

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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.