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Finding the Fourth Proportional to 49,420, 74,137.25 and 15,674.77

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Solution

The fourth proportional to 49,420, 74,137.25 and 15,674.77 is: 23,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,420 : 74,137.25 = 15,674.77 : x
  2. Step 2: Convert to fraction form
    49,420/74,137.25 = 15,674.77/x
  3. Step 3: Cross multiply
    49,420x = 74,137.25 × 15,674.77
  4. Step 4: Simplify right side
    49,420x = 1,162,083,893.12
  5. Step 5: Solve for x
    x = 1,162,083,893.12/49,420
  6. Step 6: Final answer
    x = 23,514.45

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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.