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Finding the Fourth Proportional to 51,207, 76,816.98 and 14,271

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Solution

The fourth proportional to 51,207, 76,816.98 and 14,271 is: 21,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207 : 76,816.98 = 14,271 : x
  2. Step 2: Convert to fraction form
    51,207/76,816.98 = 14,271/x
  3. Step 3: Cross multiply
    51,207x = 76,816.98 × 14,271
  4. Step 4: Simplify right side
    51,207x = 1,096,255,121.58
  5. Step 5: Solve for x
    x = 1,096,255,121.58/51,207
  6. Step 6: Final answer
    x = 21,408.31

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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.