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Finding the Fourth Proportional to 65,102.40, 97,649.46 and 20,760.96

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Solution

The fourth proportional to 65,102.40, 97,649.46 and 20,760.96 is: 31,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.40 : 97,649.46 = 20,760.96 : x
  2. Step 2: Convert to fraction form
    65,102.40/97,649.46 = 20,760.96/x
  3. Step 3: Cross multiply
    65,102.40x = 97,649.46 × 20,760.96
  4. Step 4: Simplify right side
    65,102.40x = 2,027,296,533.08
  5. Step 5: Solve for x
    x = 2,027,296,533.08/65,102.40
  6. Step 6: Final answer
    x = 31,140.12

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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.