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Finding the Fourth Proportional to 56,889.72, 85,394.70 and 31,951.08

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Solution

The fourth proportional to 56,889.72, 85,394.70 and 31,951.08 is: 47,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,889.72 : 85,394.70 = 31,951.08 : x
  2. Step 2: Convert to fraction form
    56,889.72/85,394.70 = 31,951.08/x
  3. Step 3: Cross multiply
    56,889.72x = 85,394.70 × 31,951.08
  4. Step 4: Simplify right side
    56,889.72x = 2,728,452,891.28
  5. Step 5: Solve for x
    x = 2,728,452,891.28/56,889.72
  6. Step 6: Final answer
    x = 47,960.39

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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.