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Finding the Fourth Proportional to 65,103.19, 97,662 and 20,719.66

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Solution

The fourth proportional to 65,103.19, 97,662 and 20,719.66 is: 31,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103.19 : 97,662 = 20,719.66 : x
  2. Step 2: Convert to fraction form
    65,103.19/97,662 = 20,719.66/x
  3. Step 3: Cross multiply
    65,103.19x = 97,662 × 20,719.66
  4. Step 4: Simplify right side
    65,103.19x = 2,023,523,434.92
  5. Step 5: Solve for x
    x = 2,023,523,434.92/65,103.19
  6. Step 6: Final answer
    x = 31,081.79

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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.