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Finding the Fourth Proportional to 57,143.25, 78,855.04 and 31,647.89

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Solution

The fourth proportional to 57,143.25, 78,855.04 and 31,647.89 is: 43,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.25 : 78,855.04 = 31,647.89 : x
  2. Step 2: Convert to fraction form
    57,143.25/78,855.04 = 31,647.89/x
  3. Step 3: Cross multiply
    57,143.25x = 78,855.04 × 31,647.89
  4. Step 4: Simplify right side
    57,143.25x = 2,495,595,631.87
  5. Step 5: Solve for x
    x = 2,495,595,631.87/57,143.25
  6. Step 6: Final answer
    x = 43,672.62

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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.