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Finding the Fourth Proportional to 83,889.98, 125,885.22 and 31,336.40

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Solution

The fourth proportional to 83,889.98, 125,885.22 and 31,336.40 is: 47,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,889.98 : 125,885.22 = 31,336.40 : x
  2. Step 2: Convert to fraction form
    83,889.98/125,885.22 = 31,336.40/x
  3. Step 3: Cross multiply
    83,889.98x = 125,885.22 × 31,336.40
  4. Step 4: Simplify right side
    83,889.98x = 3,944,789,608.01
  5. Step 5: Solve for x
    x = 3,944,789,608.01/83,889.98
  6. Step 6: Final answer
    x = 47,023.37

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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.