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Finding the Fourth Proportional to 52,137.84, 78,206.91 and 12,694.89

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Solution

The fourth proportional to 52,137.84, 78,206.91 and 12,694.89 is: 19,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,137.84 : 78,206.91 = 12,694.89 : x
  2. Step 2: Convert to fraction form
    52,137.84/78,206.91 = 12,694.89/x
  3. Step 3: Cross multiply
    52,137.84x = 78,206.91 × 12,694.89
  4. Step 4: Simplify right side
    52,137.84x = 992,828,119.69
  5. Step 5: Solve for x
    x = 992,828,119.69/52,137.84
  6. Step 6: Final answer
    x = 19,042.37

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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.