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Finding the Fourth Proportional to 51,806.19, 77,709.30 and 14,375.70

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Solution

The fourth proportional to 51,806.19, 77,709.30 and 14,375.70 is: 21,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.19 : 77,709.30 = 14,375.70 : x
  2. Step 2: Convert to fraction form
    51,806.19/77,709.30 = 14,375.70/x
  3. Step 3: Cross multiply
    51,806.19x = 77,709.30 × 14,375.70
  4. Step 4: Simplify right side
    51,806.19x = 1,117,125,584.01
  5. Step 5: Solve for x
    x = 1,117,125,584.01/51,806.19
  6. Step 6: Final answer
    x = 21,563.55

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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.