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Finding the Fourth Proportional to 51,806.98, 77,797.14 and 45,289.72

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Solution

The fourth proportional to 51,806.98, 77,797.14 and 45,289.72 is: 68,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.98 : 77,797.14 = 45,289.72 : x
  2. Step 2: Convert to fraction form
    51,806.98/77,797.14 = 45,289.72/x
  3. Step 3: Cross multiply
    51,806.98x = 77,797.14 × 45,289.72
  4. Step 4: Simplify right side
    51,806.98x = 3,523,410,687.40
  5. Step 5: Solve for x
    x = 3,523,410,687.40/51,806.98
  6. Step 6: Final answer
    x = 68,010.35

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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.