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Finding the Fourth Proportional to 82,286.78, 123,430.17 and 19,957.28

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Solution

The fourth proportional to 82,286.78, 123,430.17 and 19,957.28 is: 29,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,286.78 : 123,430.17 = 19,957.28 : x
  2. Step 2: Convert to fraction form
    82,286.78/123,430.17 = 19,957.28/x
  3. Step 3: Cross multiply
    82,286.78x = 123,430.17 × 19,957.28
  4. Step 4: Simplify right side
    82,286.78x = 2,463,329,845.99
  5. Step 5: Solve for x
    x = 2,463,329,845.99/82,286.78
  6. Step 6: Final answer
    x = 29,935.91

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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.