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Finding the Fourth Proportional to 228,103.96, 342,175.08 and 84,049

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Solution

The fourth proportional to 228,103.96, 342,175.08 and 84,049 is: 126,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,103.96 : 342,175.08 = 84,049 : x
  2. Step 2: Convert to fraction form
    228,103.96/342,175.08 = 84,049/x
  3. Step 3: Cross multiply
    228,103.96x = 342,175.08 × 84,049
  4. Step 4: Simplify right side
    228,103.96x = 28,759,473,298.92
  5. Step 5: Solve for x
    x = 28,759,473,298.92/228,103.96
  6. Step 6: Final answer
    x = 126,080.55

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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.