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Finding the Fourth Proportional to 161,843.80, 242,708.10 and 73,139.80

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Solution

The fourth proportional to 161,843.80, 242,708.10 and 73,139.80 is: 109,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,843.80 : 242,708.10 = 73,139.80 : x
  2. Step 2: Convert to fraction form
    161,843.80/242,708.10 = 73,139.80/x
  3. Step 3: Cross multiply
    161,843.80x = 242,708.10 × 73,139.80
  4. Step 4: Simplify right side
    161,843.80x = 17,751,621,892.38
  5. Step 5: Solve for x
    x = 17,751,621,892.38/161,843.80
  6. Step 6: Final answer
    x = 109,683.67

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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.