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Finding the Fourth Proportional to 120,253.89, 165,947.77 and 65,805.82

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Solution

The fourth proportional to 120,253.89, 165,947.77 and 65,805.82 is: 90,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,253.89 : 165,947.77 = 65,805.82 : x
  2. Step 2: Convert to fraction form
    120,253.89/165,947.77 = 65,805.82/x
  3. Step 3: Cross multiply
    120,253.89x = 165,947.77 × 65,805.82
  4. Step 4: Simplify right side
    120,253.89x = 10,920,328,749.41
  5. Step 5: Solve for x
    x = 10,920,328,749.41/120,253.89
  6. Step 6: Final answer
    x = 90,810.60

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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.