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Finding the Fourth Proportional to 51,086.48, 70,488.78 and 29,861.64

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Solution

The fourth proportional to 51,086.48, 70,488.78 and 29,861.64 is: 41,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,086.48 : 70,488.78 = 29,861.64 : x
  2. Step 2: Convert to fraction form
    51,086.48/70,488.78 = 29,861.64/x
  3. Step 3: Cross multiply
    51,086.48x = 70,488.78 × 29,861.64
  4. Step 4: Simplify right side
    51,086.48x = 2,104,910,572.40
  5. Step 5: Solve for x
    x = 2,104,910,572.40/51,086.48
  6. Step 6: Final answer
    x = 41,202.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.