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Finding the Fourth Proportional to 84,469.82, 126,732.87 and 28,315.49

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Solution

The fourth proportional to 84,469.82, 126,732.87 and 28,315.49 is: 42,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,469.82 : 126,732.87 = 28,315.49 : x
  2. Step 2: Convert to fraction form
    84,469.82/126,732.87 = 28,315.49/x
  3. Step 3: Cross multiply
    84,469.82x = 126,732.87 × 28,315.49
  4. Step 4: Simplify right side
    84,469.82x = 3,588,502,679.49
  5. Step 5: Solve for x
    x = 3,588,502,679.49/84,469.82
  6. Step 6: Final answer
    x = 42,482.66

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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.