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Finding the Fourth Proportional to 210,093.68, 315,140.52 and 76,919.96

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Solution

The fourth proportional to 210,093.68, 315,140.52 and 76,919.96 is: 115,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,093.68 : 315,140.52 = 76,919.96 : x
  2. Step 2: Convert to fraction form
    210,093.68/315,140.52 = 76,919.96/x
  3. Step 3: Cross multiply
    210,093.68x = 315,140.52 × 76,919.96
  4. Step 4: Simplify right side
    210,093.68x = 24,240,594,617.08
  5. Step 5: Solve for x
    x = 24,240,594,617.08/210,093.68
  6. Step 6: Final answer
    x = 115,379.94

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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.