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Finding the Fourth Proportional to 51,612, 77,431 and 14,676

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Solution

The fourth proportional to 51,612, 77,431 and 14,676 is: 22,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,612 : 77,431 = 14,676 : x
  2. Step 2: Convert to fraction form
    51,612/77,431 = 14,676/x
  3. Step 3: Cross multiply
    51,612x = 77,431 × 14,676
  4. Step 4: Simplify right side
    51,612x = 1,136,377,356
  5. Step 5: Solve for x
    x = 1,136,377,356/51,612
  6. Step 6: Final answer
    x = 22,017.70

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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.