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Finding the Fourth Proportional to 161,800.70, 242,614.65 and 68,200.70

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Solution

The fourth proportional to 161,800.70, 242,614.65 and 68,200.70 is: 102,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,800.70 : 242,614.65 = 68,200.70 : x
  2. Step 2: Convert to fraction form
    161,800.70/242,614.65 = 68,200.70/x
  3. Step 3: Cross multiply
    161,800.70x = 242,614.65 × 68,200.70
  4. Step 4: Simplify right side
    161,800.70x = 16,546,488,960.26
  5. Step 5: Solve for x
    x = 16,546,488,960.26/161,800.70
  6. Step 6: Final answer
    x = 102,264.63

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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.