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Finding the Fourth Proportional to 84,377.63, 126,503.97 and 51,089.87

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Solution

The fourth proportional to 84,377.63, 126,503.97 and 51,089.87 is: 76,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,377.63 : 126,503.97 = 51,089.87 : x
  2. Step 2: Convert to fraction form
    84,377.63/126,503.97 = 51,089.87/x
  3. Step 3: Cross multiply
    84,377.63x = 126,503.97 × 51,089.87
  4. Step 4: Simplify right side
    84,377.63x = 6,463,070,749.26
  5. Step 5: Solve for x
    x = 6,463,070,749.26/84,377.63
  6. Step 6: Final answer
    x = 76,596.97

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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.