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Finding the Fourth Proportional to 161,802.12, 242,680.50 and 68,286

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Solution

The fourth proportional to 161,802.12, 242,680.50 and 68,286 is: 102,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,802.12 : 242,680.50 = 68,286 : x
  2. Step 2: Convert to fraction form
    161,802.12/242,680.50 = 68,286/x
  3. Step 3: Cross multiply
    161,802.12x = 242,680.50 × 68,286
  4. Step 4: Simplify right side
    161,802.12x = 16,571,680,623
  5. Step 5: Solve for x
    x = 16,571,680,623/161,802.12
  6. Step 6: Final answer
    x = 102,419.43

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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.