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Finding the Fourth Proportional to 242,542.44, 363,980.10 and 84,771

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Solution

The fourth proportional to 242,542.44, 363,980.10 and 84,771 is: 127,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,542.44 : 363,980.10 = 84,771 : x
  2. Step 2: Convert to fraction form
    242,542.44/363,980.10 = 84,771/x
  3. Step 3: Cross multiply
    242,542.44x = 363,980.10 × 84,771
  4. Step 4: Simplify right side
    242,542.44x = 30,854,957,057.10
  5. Step 5: Solve for x
    x = 30,854,957,057.10/242,542.44
  6. Step 6: Final answer
    x = 127,214.67

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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.