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Finding the Fourth Proportional to 54,696.72, 82,045.07 and 13,143.72

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Solution

The fourth proportional to 54,696.72, 82,045.07 and 13,143.72 is: 19,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696.72 : 82,045.07 = 13,143.72 : x
  2. Step 2: Convert to fraction form
    54,696.72/82,045.07 = 13,143.72/x
  3. Step 3: Cross multiply
    54,696.72x = 82,045.07 × 13,143.72
  4. Step 4: Simplify right side
    54,696.72x = 1,078,377,767.99
  5. Step 5: Solve for x
    x = 1,078,377,767.99/54,696.72
  6. Step 6: Final answer
    x = 19,715.58

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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.