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Finding the Fourth Proportional to 84,609.80, 126,913.79 and 34,678.77

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Solution

The fourth proportional to 84,609.80, 126,913.79 and 34,678.77 is: 52,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,609.80 : 126,913.79 = 34,678.77 : x
  2. Step 2: Convert to fraction form
    84,609.80/126,913.79 = 34,678.77/x
  3. Step 3: Cross multiply
    84,609.80x = 126,913.79 × 34,678.77
  4. Step 4: Simplify right side
    84,609.80x = 4,401,213,851.93
  5. Step 5: Solve for x
    x = 4,401,213,851.93/84,609.80
  6. Step 6: Final answer
    x = 52,017.78

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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.