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Finding the Fourth Proportional to 49,595.78, 74,394.06 and 18,431

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Solution

The fourth proportional to 49,595.78, 74,394.06 and 18,431 is: 27,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,595.78 : 74,394.06 = 18,431 : x
  2. Step 2: Convert to fraction form
    49,595.78/74,394.06 = 18,431/x
  3. Step 3: Cross multiply
    49,595.78x = 74,394.06 × 18,431
  4. Step 4: Simplify right side
    49,595.78x = 1,371,156,919.86
  5. Step 5: Solve for x
    x = 1,371,156,919.86/49,595.78
  6. Step 6: Final answer
    x = 27,646.64

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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.