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Finding the Fourth Proportional to 65,100.63, 97,660.23 and 20,125.86

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Solution

The fourth proportional to 65,100.63, 97,660.23 and 20,125.86 is: 30,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100.63 : 97,660.23 = 20,125.86 : x
  2. Step 2: Convert to fraction form
    65,100.63/97,660.23 = 20,125.86/x
  3. Step 3: Cross multiply
    65,100.63x = 97,660.23 × 20,125.86
  4. Step 4: Simplify right side
    65,100.63x = 1,965,496,116.55
  5. Step 5: Solve for x
    x = 1,965,496,116.55/65,100.63
  6. Step 6: Final answer
    x = 30,191.66

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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.