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Finding the Fourth Proportional to 80,505.68, 120,758.52 and 25,106

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Solution

The fourth proportional to 80,505.68, 120,758.52 and 25,106 is: 37,659

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,505.68 : 120,758.52 = 25,106 : x
  2. Step 2: Convert to fraction form
    80,505.68/120,758.52 = 25,106/x
  3. Step 3: Cross multiply
    80,505.68x = 120,758.52 × 25,106
  4. Step 4: Simplify right side
    80,505.68x = 3,031,763,403.12
  5. Step 5: Solve for x
    x = 3,031,763,403.12/80,505.68
  6. Step 6: Final answer
    x = 37,659

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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.