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Finding the Fourth Proportional to 70,776.38, 97,672.09 and 38,945.96

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Solution

The fourth proportional to 70,776.38, 97,672.09 and 38,945.96 is: 53,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,776.38 : 97,672.09 = 38,945.96 : x
  2. Step 2: Convert to fraction form
    70,776.38/97,672.09 = 38,945.96/x
  3. Step 3: Cross multiply
    70,776.38x = 97,672.09 × 38,945.96
  4. Step 4: Simplify right side
    70,776.38x = 3,803,933,236.85
  5. Step 5: Solve for x
    x = 3,803,933,236.85/70,776.38
  6. Step 6: Final answer
    x = 53,745.80

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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.