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Finding the Fourth Proportional to 80,495, 120,749.16 and 25,091

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Solution

The fourth proportional to 80,495, 120,749.16 and 25,091 is: 37,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,495 : 120,749.16 = 25,091 : x
  2. Step 2: Convert to fraction form
    80,495/120,749.16 = 25,091/x
  3. Step 3: Cross multiply
    80,495x = 120,749.16 × 25,091
  4. Step 4: Simplify right side
    80,495x = 3,029,717,173.56
  5. Step 5: Solve for x
    x = 3,029,717,173.56/80,495
  6. Step 6: Final answer
    x = 37,638.58

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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.