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Finding the Fourth Proportional to 57,720, 79,654.83 and 31,878.42

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Solution

The fourth proportional to 57,720, 79,654.83 and 31,878.42 is: 43,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,720 : 79,654.83 = 31,878.42 : x
  2. Step 2: Convert to fraction form
    57,720/79,654.83 = 31,878.42/x
  3. Step 3: Cross multiply
    57,720x = 79,654.83 × 31,878.42
  4. Step 4: Simplify right side
    57,720x = 2,539,270,125.77
  5. Step 5: Solve for x
    x = 2,539,270,125.77/57,720
  6. Step 6: Final answer
    x = 43,992.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.