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Finding the Fourth Proportional to 51,423.80, 77,141.88 and 18,137

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Solution

The fourth proportional to 51,423.80, 77,141.88 and 18,137 is: 27,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,423.80 : 77,141.88 = 18,137 : x
  2. Step 2: Convert to fraction form
    51,423.80/77,141.88 = 18,137/x
  3. Step 3: Cross multiply
    51,423.80x = 77,141.88 × 18,137
  4. Step 4: Simplify right side
    51,423.80x = 1,399,122,277.56
  5. Step 5: Solve for x
    x = 1,399,122,277.56/51,423.80
  6. Step 6: Final answer
    x = 27,207.68

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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.