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Finding the Fourth Proportional to 65,174.40, 97,778.80 and 25,721.92

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Solution

The fourth proportional to 65,174.40, 97,778.80 and 25,721.92 is: 38,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.40 : 97,778.80 = 25,721.92 : x
  2. Step 2: Convert to fraction form
    65,174.40/97,778.80 = 25,721.92/x
  3. Step 3: Cross multiply
    65,174.40x = 97,778.80 × 25,721.92
  4. Step 4: Simplify right side
    65,174.40x = 2,515,058,471.30
  5. Step 5: Solve for x
    x = 2,515,058,471.30/65,174.40
  6. Step 6: Final answer
    x = 38,589.67

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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.