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Finding the Fourth Proportional to 65,408.55, 98,103.62 and 21,029.67

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Solution

The fourth proportional to 65,408.55, 98,103.62 and 21,029.67 is: 31,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.55 : 98,103.62 = 21,029.67 : x
  2. Step 2: Convert to fraction form
    65,408.55/98,103.62 = 21,029.67/x
  3. Step 3: Cross multiply
    65,408.55x = 98,103.62 × 21,029.67
  4. Step 4: Simplify right side
    65,408.55x = 2,063,086,649.26
  5. Step 5: Solve for x
    x = 2,063,086,649.26/65,408.55
  6. Step 6: Final answer
    x = 31,541.54

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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.