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Finding the Fourth Proportional to 210,216.65, 315,137.43 and 77,065.82

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Solution

The fourth proportional to 210,216.65, 315,137.43 and 77,065.82 is: 115,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,216.65 : 315,137.43 = 77,065.82 : x
  2. Step 2: Convert to fraction form
    210,216.65/315,137.43 = 77,065.82/x
  3. Step 3: Cross multiply
    210,216.65x = 315,137.43 × 77,065.82
  4. Step 4: Simplify right side
    210,216.65x = 24,286,322,879.96
  5. Step 5: Solve for x
    x = 24,286,322,879.96/210,216.65
  6. Step 6: Final answer
    x = 115,529.97

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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.