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Finding the Fourth Proportional to 161,806.20, 242,622.90 and 68,206.20

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Solution

The fourth proportional to 161,806.20, 242,622.90 and 68,206.20 is: 102,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,806.20 : 242,622.90 = 68,206.20 : x
  2. Step 2: Convert to fraction form
    161,806.20/242,622.90 = 68,206.20/x
  3. Step 3: Cross multiply
    161,806.20x = 242,622.90 × 68,206.20
  4. Step 4: Simplify right side
    161,806.20x = 16,548,386,041.98
  5. Step 5: Solve for x
    x = 16,548,386,041.98/161,806.20
  6. Step 6: Final answer
    x = 102,272.88

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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.