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Finding the Fourth Proportional to 68,572.84, 102,869.10 and 21,192.08

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Solution

The fourth proportional to 68,572.84, 102,869.10 and 21,192.08 is: 31,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,572.84 : 102,869.10 = 21,192.08 : x
  2. Step 2: Convert to fraction form
    68,572.84/102,869.10 = 21,192.08/x
  3. Step 3: Cross multiply
    68,572.84x = 102,869.10 × 21,192.08
  4. Step 4: Simplify right side
    68,572.84x = 2,180,010,196.73
  5. Step 5: Solve for x
    x = 2,180,010,196.73/68,572.84
  6. Step 6: Final answer
    x = 31,791.16

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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.