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Finding the Fourth Proportional to 57,985.96, 80,019.30 and 34,107.40

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Solution

The fourth proportional to 57,985.96, 80,019.30 and 34,107.40 is: 47,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,985.96 : 80,019.30 = 34,107.40 : x
  2. Step 2: Convert to fraction form
    57,985.96/80,019.30 = 34,107.40/x
  3. Step 3: Cross multiply
    57,985.96x = 80,019.30 × 34,107.40
  4. Step 4: Simplify right side
    57,985.96x = 2,729,250,272.82
  5. Step 5: Solve for x
    x = 2,729,250,272.82/57,985.96
  6. Step 6: Final answer
    x = 47,067.43

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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.