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Finding the Fourth Proportional to 76,363, 114,546.66 and 20,959

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Solution

The fourth proportional to 76,363, 114,546.66 and 20,959 is: 31,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,363 : 114,546.66 = 20,959 : x
  2. Step 2: Convert to fraction form
    76,363/114,546.66 = 20,959/x
  3. Step 3: Cross multiply
    76,363x = 114,546.66 × 20,959
  4. Step 4: Simplify right side
    76,363x = 2,400,783,446.94
  5. Step 5: Solve for x
    x = 2,400,783,446.94/76,363
  6. Step 6: Final answer
    x = 31,439.09

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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.