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Finding the Fourth Proportional to 51,434, 77,151 and 14,498

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Solution

The fourth proportional to 51,434, 77,151 and 14,498 is: 21,747

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,434 : 77,151 = 14,498 : x
  2. Step 2: Convert to fraction form
    51,434/77,151 = 14,498/x
  3. Step 3: Cross multiply
    51,434x = 77,151 × 14,498
  4. Step 4: Simplify right side
    51,434x = 1,118,535,198
  5. Step 5: Solve for x
    x = 1,118,535,198/51,434
  6. Step 6: Final answer
    x = 21,747

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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.