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Finding the Fourth Proportional to 68,101.84, 102,169.12 and 21,354.72

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Solution

The fourth proportional to 68,101.84, 102,169.12 and 21,354.72 is: 32,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,101.84 : 102,169.12 = 21,354.72 : x
  2. Step 2: Convert to fraction form
    68,101.84/102,169.12 = 21,354.72/x
  3. Step 3: Cross multiply
    68,101.84x = 102,169.12 × 21,354.72
  4. Step 4: Simplify right side
    68,101.84x = 2,181,792,950.25
  5. Step 5: Solve for x
    x = 2,181,792,950.25/68,101.84
  6. Step 6: Final answer
    x = 32,037.21

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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.