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Finding the Fourth Proportional to 49,593.78, 74,391.06 and 18,429

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Solution

The fourth proportional to 49,593.78, 74,391.06 and 18,429 is: 27,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,593.78 : 74,391.06 = 18,429 : x
  2. Step 2: Convert to fraction form
    49,593.78/74,391.06 = 18,429/x
  3. Step 3: Cross multiply
    49,593.78x = 74,391.06 × 18,429
  4. Step 4: Simplify right side
    49,593.78x = 1,370,952,844.74
  5. Step 5: Solve for x
    x = 1,370,952,844.74/49,593.78
  6. Step 6: Final answer
    x = 27,643.64

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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.