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Finding the Fourth Proportional to 53,187.78, 79,781.70 and 16,251.78

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Solution

The fourth proportional to 53,187.78, 79,781.70 and 16,251.78 is: 24,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,187.78 : 79,781.70 = 16,251.78 : x
  2. Step 2: Convert to fraction form
    53,187.78/79,781.70 = 16,251.78/x
  3. Step 3: Cross multiply
    53,187.78x = 79,781.70 × 16,251.78
  4. Step 4: Simplify right side
    53,187.78x = 1,296,594,636.43
  5. Step 5: Solve for x
    x = 1,296,594,636.43/53,187.78
  6. Step 6: Final answer
    x = 24,377.68

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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.