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Finding the Fourth Proportional to 68,267.34, 102,406.14 and 21,519

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Solution

The fourth proportional to 68,267.34, 102,406.14 and 21,519 is: 32,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,267.34 : 102,406.14 = 21,519 : x
  2. Step 2: Convert to fraction form
    68,267.34/102,406.14 = 21,519/x
  3. Step 3: Cross multiply
    68,267.34x = 102,406.14 × 21,519
  4. Step 4: Simplify right side
    68,267.34x = 2,203,677,726.66
  5. Step 5: Solve for x
    x = 2,203,677,726.66/68,267.34
  6. Step 6: Final answer
    x = 32,280.12

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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.