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Finding the Fourth Proportional to 51,770, 77,658.71 and 13,819.07

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Solution

The fourth proportional to 51,770, 77,658.71 and 13,819.07 is: 20,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,770 : 77,658.71 = 13,819.07 : x
  2. Step 2: Convert to fraction form
    51,770/77,658.71 = 13,819.07/x
  3. Step 3: Cross multiply
    51,770x = 77,658.71 × 13,819.07
  4. Step 4: Simplify right side
    51,770x = 1,073,171,149.60
  5. Step 5: Solve for x
    x = 1,073,171,149.60/51,770
  6. Step 6: Final answer
    x = 20,729.60

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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.