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Finding the Fourth Proportional to 65,114.20, 97,676.70 and 20,739.70

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Solution

The fourth proportional to 65,114.20, 97,676.70 and 20,739.70 is: 31,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.20 : 97,676.70 = 20,739.70 : x
  2. Step 2: Convert to fraction form
    65,114.20/97,676.70 = 20,739.70/x
  3. Step 3: Cross multiply
    65,114.20x = 97,676.70 × 20,739.70
  4. Step 4: Simplify right side
    65,114.20x = 2,025,785,454.99
  5. Step 5: Solve for x
    x = 2,025,785,454.99/65,114.20
  6. Step 6: Final answer
    x = 31,111.27

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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.