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Finding the Fourth Proportional to 51,251.68, 76,871.80 and 13,815.48

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Solution

The fourth proportional to 51,251.68, 76,871.80 and 13,815.48 is: 20,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,251.68 : 76,871.80 = 13,815.48 : x
  2. Step 2: Convert to fraction form
    51,251.68/76,871.80 = 13,815.48/x
  3. Step 3: Cross multiply
    51,251.68x = 76,871.80 × 13,815.48
  4. Step 4: Simplify right side
    51,251.68x = 1,062,020,815.46
  5. Step 5: Solve for x
    x = 1,062,020,815.46/51,251.68
  6. Step 6: Final answer
    x = 20,721.68

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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.