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Finding the Fourth Proportional to 54,742, 82,143.76 and 29,783.80

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Solution

The fourth proportional to 54,742, 82,143.76 and 29,783.80 is: 44,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742 : 82,143.76 = 29,783.80 : x
  2. Step 2: Convert to fraction form
    54,742/82,143.76 = 29,783.80/x
  3. Step 3: Cross multiply
    54,742x = 82,143.76 × 29,783.80
  4. Step 4: Simplify right side
    54,742x = 2,446,553,319.09
  5. Step 5: Solve for x
    x = 2,446,553,319.09/54,742
  6. Step 6: Final answer
    x = 44,692.44

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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.