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Finding the Fourth Proportional to 80,461.35, 120,645.30 and 53,837.82

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Solution

The fourth proportional to 80,461.35, 120,645.30 and 53,837.82 is: 80,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,461.35 : 120,645.30 = 53,837.82 : x
  2. Step 2: Convert to fraction form
    80,461.35/120,645.30 = 53,837.82/x
  3. Step 3: Cross multiply
    80,461.35x = 120,645.30 × 53,837.82
  4. Step 4: Simplify right side
    80,461.35x = 6,495,279,945.25
  5. Step 5: Solve for x
    x = 6,495,279,945.25/80,461.35
  6. Step 6: Final answer
    x = 80,725.47

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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.