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Finding the Fourth Proportional to 80,287, 120,430.50 and 21,919

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Solution

The fourth proportional to 80,287, 120,430.50 and 21,919 is: 32,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,287 : 120,430.50 = 21,919 : x
  2. Step 2: Convert to fraction form
    80,287/120,430.50 = 21,919/x
  3. Step 3: Cross multiply
    80,287x = 120,430.50 × 21,919
  4. Step 4: Simplify right side
    80,287x = 2,639,716,129.50
  5. Step 5: Solve for x
    x = 2,639,716,129.50/80,287
  6. Step 6: Final answer
    x = 32,878.50

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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.