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Finding the Fourth Proportional to 65,193.88, 97,790.02 and 20,820.08

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Solution

The fourth proportional to 65,193.88, 97,790.02 and 20,820.08 is: 31,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.88 : 97,790.02 = 20,820.08 : x
  2. Step 2: Convert to fraction form
    65,193.88/97,790.02 = 20,820.08/x
  3. Step 3: Cross multiply
    65,193.88x = 97,790.02 × 20,820.08
  4. Step 4: Simplify right side
    65,193.88x = 2,035,996,039.60
  5. Step 5: Solve for x
    x = 2,035,996,039.60/65,193.88
  6. Step 6: Final answer
    x = 31,229.86

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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.