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Finding the Fourth Proportional to 51,405.85, 77,069.69 and 35,568.79

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Solution

The fourth proportional to 51,405.85, 77,069.69 and 35,568.79 is: 53,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405.85 : 77,069.69 = 35,568.79 : x
  2. Step 2: Convert to fraction form
    51,405.85/77,069.69 = 35,568.79/x
  3. Step 3: Cross multiply
    51,405.85x = 77,069.69 × 35,568.79
  4. Step 4: Simplify right side
    51,405.85x = 2,741,275,381.84
  5. Step 5: Solve for x
    x = 2,741,275,381.84/51,405.85
  6. Step 6: Final answer
    x = 53,326.14

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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.