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Finding the Fourth Proportional to 242,595.80, 363,764.10 and 84,829.40

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Solution

The fourth proportional to 242,595.80, 363,764.10 and 84,829.40 is: 127,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,595.80 : 363,764.10 = 84,829.40 : x
  2. Step 2: Convert to fraction form
    242,595.80/363,764.10 = 84,829.40/x
  3. Step 3: Cross multiply
    242,595.80x = 363,764.10 × 84,829.40
  4. Step 4: Simplify right side
    242,595.80x = 30,857,890,344.54
  5. Step 5: Solve for x
    x = 30,857,890,344.54/242,595.80
  6. Step 6: Final answer
    x = 127,198.78

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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.