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Finding the Fourth Proportional to 51,293, 76,943.82 and 14,357

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Solution

The fourth proportional to 51,293, 76,943.82 and 14,357 is: 21,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,293 : 76,943.82 = 14,357 : x
  2. Step 2: Convert to fraction form
    51,293/76,943.82 = 14,357/x
  3. Step 3: Cross multiply
    51,293x = 76,943.82 × 14,357
  4. Step 4: Simplify right side
    51,293x = 1,104,682,423.74
  5. Step 5: Solve for x
    x = 1,104,682,423.74/51,293
  6. Step 6: Final answer
    x = 21,536.71

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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.