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Finding the Fourth Proportional to 221,491.95, 331,855.20 and 102,920.10

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Solution

The fourth proportional to 221,491.95, 331,855.20 and 102,920.10 is: 154,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,491.95 : 331,855.20 = 102,920.10 : x
  2. Step 2: Convert to fraction form
    221,491.95/331,855.20 = 102,920.10/x
  3. Step 3: Cross multiply
    221,491.95x = 331,855.20 × 102,920.10
  4. Step 4: Simplify right side
    221,491.95x = 34,154,570,369.52
  5. Step 5: Solve for x
    x = 34,154,570,369.52/221,491.95
  6. Step 6: Final answer
    x = 154,202.31

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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.