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Finding the Fourth Proportional to 80,188, 120,282.50 and 21,023.14

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Solution

The fourth proportional to 80,188, 120,282.50 and 21,023.14 is: 31,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,188 : 120,282.50 = 21,023.14 : x
  2. Step 2: Convert to fraction form
    80,188/120,282.50 = 21,023.14/x
  3. Step 3: Cross multiply
    80,188x = 120,282.50 × 21,023.14
  4. Step 4: Simplify right side
    80,188x = 2,528,715,837.05
  5. Step 5: Solve for x
    x = 2,528,715,837.05/80,188
  6. Step 6: Final answer
    x = 31,534.84

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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.