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Finding the Fourth Proportional to 65,785, 98,682.39 and 21,408.34

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Solution

The fourth proportional to 65,785, 98,682.39 and 21,408.34 is: 32,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,785 : 98,682.39 = 21,408.34 : x
  2. Step 2: Convert to fraction form
    65,785/98,682.39 = 21,408.34/x
  3. Step 3: Cross multiply
    65,785x = 98,682.39 × 21,408.34
  4. Step 4: Simplify right side
    65,785x = 2,112,626,157.13
  5. Step 5: Solve for x
    x = 2,112,626,157.13/65,785
  6. Step 6: Final answer
    x = 32,114.10

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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.