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Finding the Fourth Proportional to 49,864.40, 74,780.40 and 16,578.80

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Solution

The fourth proportional to 49,864.40, 74,780.40 and 16,578.80 is: 24,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,864.40 : 74,780.40 = 16,578.80 : x
  2. Step 2: Convert to fraction form
    49,864.40/74,780.40 = 16,578.80/x
  3. Step 3: Cross multiply
    49,864.40x = 74,780.40 × 16,578.80
  4. Step 4: Simplify right side
    49,864.40x = 1,239,769,295.52
  5. Step 5: Solve for x
    x = 1,239,769,295.52/49,864.40
  6. Step 6: Final answer
    x = 24,862.81

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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.