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Finding the Fourth Proportional to 51,894.68, 77,830.07 and 20,305.49

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Solution

The fourth proportional to 51,894.68, 77,830.07 and 20,305.49 is: 30,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.68 : 77,830.07 = 20,305.49 : x
  2. Step 2: Convert to fraction form
    51,894.68/77,830.07 = 20,305.49/x
  3. Step 3: Cross multiply
    51,894.68x = 77,830.07 × 20,305.49
  4. Step 4: Simplify right side
    51,894.68x = 1,580,377,217.41
  5. Step 5: Solve for x
    x = 1,580,377,217.41/51,894.68
  6. Step 6: Final answer
    x = 30,453.55

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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.