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Finding the Fourth Proportional to 57,853.68, 86,742.36 and 38,072.40

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Solution

The fourth proportional to 57,853.68, 86,742.36 and 38,072.40 is: 57,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,853.68 : 86,742.36 = 38,072.40 : x
  2. Step 2: Convert to fraction form
    57,853.68/86,742.36 = 38,072.40/x
  3. Step 3: Cross multiply
    57,853.68x = 86,742.36 × 38,072.40
  4. Step 4: Simplify right side
    57,853.68x = 3,302,489,826.86
  5. Step 5: Solve for x
    x = 3,302,489,826.86/57,853.68
  6. Step 6: Final answer
    x = 57,083.49

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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.