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Finding the Fourth Proportional to 68,673.84, 102,872.25 and 57,549.30

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Solution

The fourth proportional to 68,673.84, 102,872.25 and 57,549.30 is: 86,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,673.84 : 102,872.25 = 57,549.30 : x
  2. Step 2: Convert to fraction form
    68,673.84/102,872.25 = 57,549.30/x
  3. Step 3: Cross multiply
    68,673.84x = 102,872.25 × 57,549.30
  4. Step 4: Simplify right side
    68,673.84x = 5,920,225,976.93
  5. Step 5: Solve for x
    x = 5,920,225,976.93/68,673.84
  6. Step 6: Final answer
    x = 86,207.88

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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.