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Finding the Fourth Proportional to 90,775, 125,269.50 and 51,031

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Solution

The fourth proportional to 90,775, 125,269.50 and 51,031 is: 70,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,775 : 125,269.50 = 51,031 : x
  2. Step 2: Convert to fraction form
    90,775/125,269.50 = 51,031/x
  3. Step 3: Cross multiply
    90,775x = 125,269.50 × 51,031
  4. Step 4: Simplify right side
    90,775x = 6,392,627,854.50
  5. Step 5: Solve for x
    x = 6,392,627,854.50/90,775
  6. Step 6: Final answer
    x = 70,422.78

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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.