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Finding the Fourth Proportional to 80,065, 120,097.50 and 21,697

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Solution

The fourth proportional to 80,065, 120,097.50 and 21,697 is: 32,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,065 : 120,097.50 = 21,697 : x
  2. Step 2: Convert to fraction form
    80,065/120,097.50 = 21,697/x
  3. Step 3: Cross multiply
    80,065x = 120,097.50 × 21,697
  4. Step 4: Simplify right side
    80,065x = 2,605,755,457.50
  5. Step 5: Solve for x
    x = 2,605,755,457.50/80,065
  6. Step 6: Final answer
    x = 32,545.50

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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.