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Finding the Fourth Proportional to 51,253.80, 76,891.95 and 15,720

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Solution

The fourth proportional to 51,253.80, 76,891.95 and 15,720 is: 23,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,253.80 : 76,891.95 = 15,720 : x
  2. Step 2: Convert to fraction form
    51,253.80/76,891.95 = 15,720/x
  3. Step 3: Cross multiply
    51,253.80x = 76,891.95 × 15,720
  4. Step 4: Simplify right side
    51,253.80x = 1,208,741,454
  5. Step 5: Solve for x
    x = 1,208,741,454/51,253.80
  6. Step 6: Final answer
    x = 23,583.45

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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.