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Finding the Fourth Proportional to 51,515.76, 77,244 and 27,470.40

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Solution

The fourth proportional to 51,515.76, 77,244 and 27,470.40 is: 41,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,515.76 : 77,244 = 27,470.40 : x
  2. Step 2: Convert to fraction form
    51,515.76/77,244 = 27,470.40/x
  3. Step 3: Cross multiply
    51,515.76x = 77,244 × 27,470.40
  4. Step 4: Simplify right side
    51,515.76x = 2,121,923,577.60
  5. Step 5: Solve for x
    x = 2,121,923,577.60/51,515.76
  6. Step 6: Final answer
    x = 41,189.79

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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.